FINDING VOLUME OF 3D SHAPES WORKSHEET

Problem 1 :

Find the volume of the cube

volume-of-3d-shapes-q1

Solution

Problem 2 :

A cuboid has a length, width and height of 4 cm, 5 cm and 9 cm, respectively. Find the volume of the cuboid.

Solution

Problem 3 :

Find the width of a cuboid, given that it has a length of 7 cm, height of 10 cm and volume of 490 cm3

Solution

Problem 4 :

Find its length, given that the volume of a cube is 343 cm3 

Solution

Problem 5 :

Find the volume of the triangular prism 

volume-of-3d-shapes-q5.png

Solution

Problem 6 :

Find the volume of the trapezoidal prism

volume-of-3d-shapes-q6.png

Solution

Problem 7 :

Find the volume of the square-based pyramid, rounding your answer to 3 significant figures

volume-of-3d-shapes-q7.png

Solution

Problem 8 :

Find the volume of the tetrahedron, rounding your answer to 3 significant figures

volume-of-3d-shapes-q8.png

Solution

Problem 9 :

Find the volume of the cone, rounding your answer to 3 significant figures

volume-of-3d-shapes-q9.png

Solution

Problem 10 :

Find the volume of the sphere, rounding your answer to 3 significant figures

volume-of-3d-shapes-q10.png

Problem 11 :

A hemisphere has a radius of 2 cm. Find its volume, rounding your answer to 3 significant figures. 

Solution

Problem 12 :

The solid shown below is a cuboid with a square-based pyramid on top. The pyramid has a vertical height of 4 cm. Find the volume of the solid, giving your answer to one decimal place where necessary.

volume-of-3d-shapes-q11.png

Solution

Answer Key

1)  216 cm3

2)  180 cm3

3)  So, the width is 7 cm.

4)   side length of the cube is 7 cm.

5)  120 cm2

6)   275 cm2

7)  33.3 cm3

8)  115.46 cm3

9)  75.4 cm3

10)  904 cm3

11)  16.74 cm3

12)  675 cm3

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