Class 9 - Cube & Cuboid Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/category/class-9-cube-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 Class 9 - Cube & Cuboid Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/category/class-9-cube-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

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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

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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 13.4

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Exercise 13.5

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Exercise 13.6

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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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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 13.5 | Question 9 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-9/ Fri, 04 Dec 2020 15:38:13 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3167 Question 9: A river 3m deep and 40m wide is flowing at the rate of 2km per hour. How much water will fall into the sea in a minute? Question 8 Ex: 13.6 | Question 1

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 9 appeared first on Mathemafia.

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Question 9: A river 3m deep and 40m wide is flowing at the rate of 2km per hour. How much water will fall into the sea in a minute?

Question 8
Ex: 13.6 | Question 1

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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Example 11

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Exercise 13.1

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Exercise 13.2

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Exercise 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 9 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 8 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-8/ Fri, 04 Dec 2020 15:38:08 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3166 Question 8: A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas. Question 7 Question 9

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 8 appeared first on Mathemafia.

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Question 8: A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Question 7
Question 9

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

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Exercise 13.1

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Exercise 13.2

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Exercise 13.5

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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 13.5 | Question 8 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 7 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-7/ Fri, 04 Dec 2020 15:38:04 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3165 Question 7: A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown. Question 6 Question…

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 7 appeared first on Mathemafia.

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Question 7: A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

Question 6
Question 8

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

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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 13.8

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Concepts

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 7 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 6 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-6/ Fri, 04 Dec 2020 15:38:00 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3164 Question 6: A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20m×15m×6m. For how many days will the water of this tank last? Question 5 Question 7

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 6 appeared first on Mathemafia.

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Question 6: A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20m×15m×6m. For how many days will the water of this tank last?

Question 5
Question 7

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

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 13.5 | Question 6 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 5 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-5/ Fri, 04 Dec 2020 15:37:56 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3163 Question 5: The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m. Question 4 Question 6

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 5 appeared first on Mathemafia.

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Question 5: The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.

Question 4
Question 6

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

Examples

Example 11

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Exercise 13.1

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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 13.5 | Question 5 appeared first on Mathemafia.

]]> Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 4 https://mathemafia.com/class-9-chapter-13-surface-areas-and-volumes-exercise-13-5-question-4/ Fri, 04 Dec 2020 15:37:53 +0000 http://sh016.global.temp.domains/~mathemaf/?p=3162 Question 4: Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs. 30 per m³. Question 3 Question 5

The post Class 9 | Chapter 13 | Surface areas and Volumes | Exercise 13.5 | Question 4 appeared first on Mathemafia.

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Question 4: Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs. 30 per m³.

Question 3
Question 5

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

Examples

Example 11

Example 12

Example 13

Example 14

Example 15

Example 16

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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 13.5 | Question 4 appeared first on Mathemafia.

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