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Surface area and volume of a prism

Compute the surface area and volume of a cuboid (SA = 2(ab+bc+ac), V = a·b·c) and a cube (SA = 6a², V = a³), the volume of a general prism (V = base area × height), and convert volume units (m³, dm³, cm³, L).

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Available exercises

Surface area of a cube

Work out the surface area of a cube from the edge length. Formula: SA = 6 · a².

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Surface area of a cuboid

Work out the surface area of a cuboid from its three edges. Formula: SA = 2 · (ab + bc + ac).

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Volume of a prism — from base area and height

Work out the volume of a prism if you know the base area and the height. Formula: V = Sp · h.

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Converting units of volume

Convert between m³, dm³, cm³, litres and millilitres. 1 dm³ = 1 L = 1000 cm³ = 1000 mL.

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📚 Want to learn more?

  • Surface area and volume of a prism — introduction
  • Volume unit conversions
  • Surface area of a cuboid and a cube
  • Volume of a cuboid and a cube
  • Volume of a prism — V = SA · h
  • Prisms in grade 7 — decimal edges and triangular prism

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