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Volume, Capacity, Mass Measurement

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Volume, Capacity, Mass Measurement

A group is preparing supplies for a day trip. Solve the measurement challenges using metric units. Show working where needed, and remember: 1 L = 1,000 mL, 1 kg = 1,000 g, and 1,000 cm³ = 1 L.

Volume and capacity

Use dimensions to find the volume of solid containers; use litres or millilitres for capacity.

1.A dry-food box is 24 cm long, 15 cm wide and 10 cm high. Calculate its volume in cm³.

2.A water container holds 3.6 L. How many millilitres is this?

3.One drink bottle contains 850 mL. Riley pours the contents of 4 bottles into a large jug. How many litres are in the jug?

4.A rectangular chilly bin has internal dimensions 40 cm × 25 cm × 30 cm. Find its volume in cm³, then state its capacity in litres if filled completely.

Mass and sensible units

Choose units that suit the size of the object, then convert between grams and kilograms.

5.Which unit is most suitable for recording the mass of a small packet of trail mix: grams (g) or kilograms (kg)? Explain briefly.

6.A food bag has a mass of 2.45 kg. Convert this mass to grams.

7.The group packs 1,750 g of snacks and 2.3 kg of fruit. What is the combined mass in kilograms?

8.A pack must weigh no more than 8 kg. It already weighs 5.65 kg. A tent part weighing 1,850 g is added. Is the pack within the limit? By how much?

Plan, estimate and check

Use measurement facts to make a practical packing decision.

9.The group needs 5 L of drinking water. They have two 1.5 L bottles and three 750 mL bottles. Do they have enough? Find the total amount and how much more they need, or how much is left over.

10.A sealed drink bottle has a mass of 1.2 kg. After the drink is used, the empty bottle has a mass of 150 g. What was the mass of the drink in grams?

11.Choose the best tool for each job: (a) finding the mass of a bag of fruit, (b) measuring 600 mL of water, (c) measuring the length, width and height of a box. Options: kitchen scales, measuring jug, ruler or tape measure.