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3D Shapes Volume Introduction

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3D Shapes Volume Introduction

A community team is packing supplies for a trip. Explore 3D shapes, then work out how much space some of their containers can hold. For cuboids, use volume = length × width × height. Write volume in cubic units, such as cm³.

Part A: Spot the solids

Think about the shapes of the gear and containers.

1.Which solid has six equal square faces?

Cube
Cuboid
Cylinder
Triangular prism

2.A drink bottle is shaped like a cylinder. Name the two flat faces on a cylinder and describe its curved surface.

3.Match each solid to its description.

Cube
Cuboid
Cylinder
Triangular prism

Two circular faces and a curved surface
Six equal square faces
Six rectangular faces, with at least one face that is not a square
Two triangular ends and three rectangular faces

Part B: Measure the space inside

Volume measures the space a 3D object occupies. For a cuboid, multiply its three perpendicular dimensions.

4.A supply box is 8 cm long, 5 cm wide and 3 cm high. Calculate its volume.

5.A cuboid-shaped food container has a base measuring 12 cm by 7 cm and a height of 4 cm. What is its volume? Show your calculation.

6.True or false? If you double the length of a cuboid but keep its width and height unchanged, its volume doubles. Explain briefly.

7.A small cube has edges of 1 cm. How many of these cubes fit in a box measuring 4 cm by 3 cm by 2 cm, with no gaps?

8.A box has a volume of 180 cm³. Its length is 10 cm and its width is 6 cm. Find its height. Write the calculation you use.

9.A cuboid is 9 cm long, 4 cm wide and 5 cm high. Mere says its volume is 18 cm³ because 9 + 4 + 5 = 18. Explain Mere’s mistake and give the correct volume.

10.A gear box must hold the greatest volume. Box A measures 10 cm × 6 cm × 4 cm; Box B measures 9 cm × 8 cm × 4 cm. Which box holds more, and by how much?

11.Design a cuboid container with a volume of 60 cm³. Give one possible whole-number set of length, width and height, and check your answer by multiplying.