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Volume of 3D Shapes

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Volume of 3D Shapes

Show your working and include the correct cubic units. Use π = 3.14 where needed.

Calculate volumes

Use the dimensions given to find each volume.

1.A cube has edges of 7 cm. Calculate its volume.

2.A rectangular storage box measures 8 m by 2.5 m by 3 m. Find its volume.

3.A cylinder has radius 4 cm and height 9 cm. Calculate its volume to 2 decimal places.

4.Compare the volumes of these solids and identify the largest: a cube with edge 4 m; a rectangular prism measuring 3 m × 5 m × 4 m; a cylinder with radius 2 m and height 6 m. Use π = 3.14.

Apply volume skills

Solve each problem and show how you used the volume formula.

5.A rectangular fish pond is 12 m long, 4 m wide and 1.5 m deep. How many cubic metres of water would fill it?

6.A cylindrical grain silo has an internal radius of 2.5 m and a height of 7 m. Find its capacity in cubic metres, using π = 3.14.

7.True or false: If every edge of a cube is tripled, its volume becomes 27 times as large. Give a reason.

TrueFalse

Extension

Use what you know about combining volumes and equivalent volumes.

8.A solid consists of a rectangular prism measuring 5 m × 3 m × 2 m with a cylinder placed on top. The cylinder has radius 1.5 m and height 4 m. Find the total volume, using π = 3.14.

9.A cube has volume 125 cm³. A cylinder has the same volume and height 5 cm. Using π = 3.14, calculate the cylinder's radius. Give your answer to 2 decimal places.