Year 7 Numeracy: Volume

A storage box is 40 cm long, 25 cm wide and 20 cm high. What is the volume of the box in cubic centimetres?

A rectangular swimming pool is 25 m long, 10 m wide, and 1.8 m deep. How many kilolitres of water does it hold when full? (1 kL = 1 m³)

A rectangular fish tank measures 60 cm long, 30 cm wide and 40 cm tall. It is filled to three-quarters of its height with water. How many litres of water are in the tank? (1 litre = 1 000 cm³)

A cardboard box has internal dimensions 45 cm × 30 cm × 20 cm. How many 5 cm cubes can fit inside?

Box A is 40 cm long, 30 cm wide and 20 cm tall. Box B has the same base as Box A but half the height. What is the combined volume of both boxes?

A builder constructs concrete steps. Each step is 1.2 m wide, 0.4 m deep, and 0.25 m high. Concrete costs $185 per cubic metre. Step 1: What is the volume of concrete for one step in m³? Step 2: What is the cost of concrete for 5 identical steps?

Multi-step problem — work through it step by step.

A builder constructs concrete steps. Each step is 1.2 m wide, 0.4 m deep, and 0.25 m high. Concrete costs $185 per cubic metre. Step 1: What is the volume of concrete for one step in m³? Step 2: What is the cost of concrete for 5 identical steps?

Multi-step problem — work through it step by step.

A rectangular swimming pool is 25 m long, 10 m wide and 1.8 m deep. Water costs $0.003 per litre to fill. What is the total cost to fill the pool? (1 m³ = 1000 litres)