VOLUME OF PRISM WORKSHEET

Problem 1 :

Find the volume of the cuboid shown below.

Problem 2 :

Find the volume of the cube shown below. 

Problem 3 :

Find the volume of the triangular prism given below.

Problem 4 :

Find the volume of the triangular prism shown below.

Problem 5 :

Find the volume of the triangular prism shown below. 

Problem 6 :

Find the volume of the pyramid shown below.

1. Answer :

Here, the base is  a rectangle and all the side walls are also rectangles.

Then, formula for volume of the above cuboid is

= Base Area x Height

Here, the base is a rectangle with length 12 cm and width 4 cm.

Area of base is

= 12 x 4 = 48 cm²

Height of the cuboid is 8 cm.

So, volume of the above cuboid is

= 48 x 8

= 384 cm³

2. Answer :

Here, the base is  a square and all the side walls are also squares.

Then, formula for volume of the above cube is

= Base area x Height

Here, the base is a square with side length of 8 cm.

Area of base is

= 8 x 8

= 64 cm²

Height of the cube is 8 cm.

So, volume of the above cube is

= 64 x 8

= 512 cm³

3. Answer :

Here, the base is  a rectangle, two of the side walls are triangles and other two side walls are rectangles.

Then, formula for the above triangular prism is

= (1/2) x Base area x Height

Here, the base is a rectangle with length 7 cm and width is 4 cm.

So, area of the base is

= 7 x 4

= 28  cm²

Height of the prism is 3 cm.

So, volume of the above triangular prism is

= (1/2) x 28 x 3

= 42 cm³

4. Answer :

Here, the base is a rectangle, two of the side walls are triangles and other two side walls are rectangles.

Then, formula for the above triangular prism is

= (1/2) x Base area x Height

Here, the base is a rectangle with length 12 cm and width is 8 cm.

So, area of the base is

= 12 x 8

= 96 cm²

Height of the prism is 3 cm.

So, volume of the above triangular prism is

= (1/2) x 96 x 3

= 144 cm³

5. Answer :

Here, the base is  a triangle, and all the side walls are rectangles.

Then, formula for the above triangular prism is

= Base area x Height

Here, the base is a triangle with base 6 cm and height 4 cm.

So, area of the base is

= (1/2) x 6 x 4

= 12 cm²

Height of the prism is 8 cm.

So, volume of the above triangular prism is

= 12 x 8

= 96 cm³

6. Answer :

Here, the base is  a square, and all the side walls are triangles.

Then, formula for the above triangular prism is

= (1/3) x Base area x Height

Here, the base is a square with side length 8 cm.

So, area of the base is

= 8 x 8

= 64 cm²

Height of the pyramid is 9 cm.

So, volume of the above triangular prism is

= (1/3) x 64 x 9

= 192 cm³

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