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Volume and surface area of a cuboid – practice for Years 6–8

Sample questions on Volume and surface area of a cuboid with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 6–8
Curriculum area
Geometry and measures

Question types: Volume and surface area of cuboids and cubes

Rule: Volume and surface area of a cuboid

Volume of a cuboid: V = a × b × c, of a cube: V = a × a × a.

Surface area of a cuboid: SA = 2 × (ab + bc + ac), of a cube: SA = 6 × a².

Example: A fish tank 7 × 3 × 6 dm: V = 126 dm³ = 126 l (1 dm³ = 1 l)

Watch out: Volume has cubic units (cm³), surface area square units (cm²).

Sample questions

  1. Question 1 Easy

    Work out the surface area of a cube with edge 3 cm.

    Show the solution
    Answer: 54 cm²

    How it works: SA = 6 × a² = 6 × 9 = 54 cm²

  2. Question 2 Normal

    Work out the volume of a cuboid measuring 4 cm, 9 cm and 3 cm.

    Show the solution
    Answer: 108 cm³

    How it works: V = a × b × c = 4 × 9 × 3 = 108 cm³

  3. Question 3 Hard

    Work out the surface area of a cube with edge 2 cm.

    Show the solution
    Answer: 24 cm²

    How it works: SA = 6 × a² = 6 × 4 = 24 cm²

Related topics

All Maths topics

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