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Volume Exploration Worksheet

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Volume Exploration Worksheet

Isla, Hamish and Dylan are packing for a road trip. Solve each challenge and show calculations where asked. Use 1 L = 1,000 cm³ and 1 m³ = 1,000,000 cm³. Give volume answers in cubic units and capacity answers in suitable units.

Understand and calculate

1.Which statement best defines the volume of a solid?
  • The distance around its outside
  • The amount of three-dimensional space it occupies
  • The area of one of its faces
  • The mass of the material it is made from
2.Isla’s storage box is a rectangular prism measuring 40 cm long, 25 cm wide and 20 cm high. Calculate its volume. Include the formula and units.
3.Hamish says a box measuring 30 cm × 18 cm × 12 cm has a volume of 648 cm³. Is he correct? Explain the error or confirm his result.
4.Put these box volumes in order from smallest to largest: 0.012 m³, 9,500 cm³, and 11 L. Convert them to the same unit first.
9000100001100012000

Capacity and packing

5.Dylan fills a 3.5 L drink container. How many cubic centimetres of liquid does it hold?
6.A cooler has internal dimensions of 45 cm × 30 cm × 28 cm. Find its internal volume in cm³, then convert the answer to litres.
7.A boot has 0.48 m³ of usable space. The packed bags take up 325,000 cm³. How much space remains? Give your answer in cm³ and litres.
8.A rectangular storage tub has a base measuring 50 cm × 32 cm. It needs to hold 40,000 cm³. What height must the tub be? Assume its sides are vertical.
9.Isla’s luggage space measures 1.2 m × 0.8 m × 0.6 m. Three identical crates each measure 60 cm × 40 cm × 30 cm. Based on volume alone, can all three crates fit within the luggage space? Show a comparison and explain one limitation of your conclusion.
10.True or false: A cube with side length 4 cm has a volume of 64 cm³. Explain how you know.

2 printable pages

  • Volume Exploration Worksheet, page 1 of 2: Understand and calculate

    Page 1

  • Volume Exploration Worksheet, page 2 of 2: Capacity and packing

    Page 2

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