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Volume Measurement Introduction

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Volume Measurement Introduction

Help Kahu, Talia and Anahera check the volume of equipment and drinks for a netball tournament. Show your working and include units. Remember: 1 L = 1,000 mL and 1 cm³ = 1 mL.

Volume and capacity

Volume is the amount of three-dimensional space an object occupies. Capacity is how much a container can hold. Solid objects are often measured in cubic units; liquids are often measured in millilitres or litres.

1.Kahu says, “Volume is the space inside or occupied by a 3D object.” Is this statement true or false?

2.Which is the most suitable unit for measuring the capacity of a large drink dispenser at the tournament?

millimetres (mm)
litres (L)
square centimetres (cm²)
kilograms (kg)

3.Complete both conversions: (a) 2.4 L = mL (b) 650 mL = L.

Crates, bottles and packing

For a rectangular prism, volume = length × width × height. Multiply the three dimensions, then state cubic units.

4.A tournament crate is 40 cm long, 25 cm wide and 20 cm high. Calculate its volume in cm³.

5.The crate in Question 4 is filled with small packs, each taking up 1,000 cm³. How many packs fit if there are no gaps?

6.Talia compares two equipment boxes: Box A is 30 cm × 20 cm × 15 cm; Box B is 25 cm × 24 cm × 16 cm. Which has the greater volume, or are they equal? Show calculations.

7.A drink dispenser contains 3.5 L of water. The team pours out 1,250 mL. How much water remains, in litres?

8.An organiser needs 12 L of drink. Bottles hold 750 mL each. What is the minimum number of full bottles needed? Explain why.

A volume puzzle

Use the number line to reason about equivalent volume units.

9.Place these capacities in order from least to greatest: 0.8 L, 950 mL, 1.05 L, 1,000 mL. Use the number line as a support.

10.Anahera measures a rectangular storage tub as 0.6 m long, 0.4 m wide and 0.5 m deep. Find its volume in m³, then convert the result to litres. (1 m³ = 1,000 L.)

11.A rectangular tank has a volume of 24,000 cm³. Its base is 40 cm long and 20 cm wide. What is the tank’s height?

12.Kahu says a box measuring 10 cm × 10 cm × 10 cm has a volume of 1,000 cm². Identify the error and give the correct volume with the correct unit.