cuboid Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/cuboid/ Mathematics is like music - Enjoy it!!! Fri, 11 Dec 2020 07:21:57 +0000 en-US hourly 1 https://wordpress.org/?v=7.0 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png cuboid Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/cuboid/ 32 32 Surface Area of Cube and Cuboid https://mathemafia.com/surface-area-of-cube-and-cuboid/ Fri, 11 Dec 2020 06:49:46 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4094 The post Surface Area of Cube and Cuboid appeared first on Mathemafia.

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Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Class 9

All tutorials

Class 10

Planned in 2021

The post Surface Area of Cube and Cuboid appeared first on Mathemafia.

]]> Volume Of Cuboid and Cube https://mathemafia.com/volume-of-cuboid-and-cube/ Fri, 11 Dec 2020 06:49:05 +0000 http://sh016.global.temp.domains/~mathemaf/?p=4084 The post Volume Of Cuboid and Cube appeared first on Mathemafia.

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Cube & Cuboid

Finding volume of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is multiply the length, breadth and height to find the volume or capacity. However, there is some difference between volume and capacity of an object. This has been explained in the video embedded in the end of the post. 

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

Volume of cuboid = length * breadth * height = l * b * h

Volume of cube = a³ ( where a is any edge of the cube)

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
It is recommended to understand the concept of volume and capacity before you attempt any questions related to volume and capacity of cube and cuboid.
 

Class 9

All tutorials

Class 10

Planned in 2021

The post Volume Of Cuboid and Cube appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-12/ Wed, 09 Dec 2020 13:50:22 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3783 Example 12: A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in Fig. 13.25. If the edge of each cube is 3 cm, find the volume of the structure built…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 appeared first on Mathemafia.

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Example 12: A child playing with building blocks, which are of the shape of cubes, has built a structure as shown in Fig. 13.25. If the edge of each cube is 3 cm, find the volume of the structure built by the child.

Example 11
Example 13

Cube & Cuboid

Finding volume of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is multiply the length, breadth and height to find the volume or capacity. However, there is some difference between volume and capacity of an object. This has been explained in the video embedded in the end of the post. 

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

Volume of cuboid = length * breadth * height = l * b * h

Volume of cube = a³ ( where a is any edge of the cube)

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
It is recommended to understand the concept of volume and capacity before you attempt any questions related to volume and capacity of cube and cuboid.
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

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Example 11

Example 12

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Exercise 13.1

Question 1

Question 2

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Question 8

Exercise 13.2

Question 1

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 12 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-example-11/ Wed, 09 Dec 2020 13:43:05 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3778 Example 11: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 appeared first on Mathemafia.

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Example 11: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?

Example 10
Example 12

Cube & Cuboid

Finding volume of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is multiply the length, breadth and height to find the volume or capacity. However, there is some difference between volume and capacity of an object. This has been explained in the video embedded in the end of the post. 

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

Volume of cuboid = length * breadth * height = l * b * h

Volume of cube = a³ ( where a is any edge of the cube)

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
It is recommended to understand the concept of volume and capacity before you attempt any questions related to volume and capacity of cube and cuboid.
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

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Exercise 13.1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Example 11 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-8/ Sat, 31 Oct 2020 05:26:51 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2589 Question 8: Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 8 appeared first on Mathemafia.

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Question 8: Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?

Question 7
Ex: 13.2 | Question 1

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

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Example 9

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Examples

Example 11

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Exercise 13.1

Question 1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-7/ Sat, 31 Oct 2020 05:26:46 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2588 Question 7: Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 7 appeared first on Mathemafia.

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Question 7: Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of each kind.

Question 6
Question 8

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

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Example 19

Exercise 13.1

Question 1

Question 2

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Exercise 13.2

Question 1

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-6/ Sat, 31 Oct 2020 05:26:42 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2587 Question 6: A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. (i)  What is the area of the glass? (ii)…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 6 appeared first on Mathemafia.

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Question 6: A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.

(i)  What is the area of the glass?

(ii)  How much of tape is needed for all the 12 edges?

Question 5
Question 7

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

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Exercise 13.1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-5/ Sat, 31 Oct 2020 05:26:37 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2586 Question 5: A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. (i)  Which box has the greater lateral surface area and by how much? (ii)  Which…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 5 appeared first on Mathemafia.

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Question 5: A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i)  Which box has the greater lateral surface area and by how much?

(ii)  Which box has the smaller total surface area and by how much?

Question 4
Question 6

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

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Exercise 13.1

Question 1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

Question 1

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Question 10

Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-4/ Sat, 31 Oct 2020 05:26:33 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2585 Question 4: The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container? Question 3 Question…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 4 appeared first on Mathemafia.

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Question 4: The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?

Question 3
Question 5

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

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Exercise 13.1

Question 1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 4 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 3 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-1-question-3/ Sat, 31 Oct 2020 05:26:29 +0000 http://sh016.global.temp.domains/~mathemaf/?p=2584 Question 3: The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs. 10 per m2 is Rs. 15000, find the height of the hall. [Hint :…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 3 appeared first on Mathemafia.

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Question 3: The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs. 10 per m2 is Rs. 15000, find the height of the hall.

[Hint : Area of the four walls = Lateral surface area.]

Question 2
Question 4

Prerequisite

Finding surface area of a cube or a cuboid is quite simple. Every cube/cuboid has 6 sides. All we need is find the area of all six sides and add – this will be the total surface area of the cube/cuboid.

A cube is a cuboid that has all edges of equal length. Hence, every cube is a cuboid as well but every cuboid is not a cube. 

It is recommended to understand the core concept of area, surface area and volume before we attempt any question based on these concepts.

 
Derivation of formula – Surface area of cube and cuboid
 

Chapter 13 – Surface areas and Volumes

​

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17

Example 18

Example 19

Exercise 13.1

Question 1

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Exercise 13.2

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Exercise 13.3

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Exercise 13.4

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Exercise 13.5

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Exercise 13.6

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Exercise 13.7

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.1 | Question 3 appeared first on Mathemafia.

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