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).
Available exercises
Surface area of a cube
Work out the surface area of a cube from the edge length. Formula: SA = 6 · a².
Surface area of a cuboid
Work out the surface area of a cuboid from its three edges. Formula: SA = 2 · (ab + bc + ac).
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.
Converting units of volume
Convert between m³, dm³, cm³, litres and millilitres. 1 dm³ = 1 L = 1000 cm³ = 1000 mL.
Volume of a cuboid with fractional edges
Work out the volume of a cuboid whose edges are fractions. Write the answer as a fraction (or a whole number).
Volume of a triangular prism
Compute the volume of a prism whose base is a triangle. Formula V = (½ · a · hᴧ) · hₚ.