Shape and Space 7
3 marks · NormalA solid has the same volume as a sphere with radius 2 cm. If the solid is a cube, what is the length of its side? Explain your steps.
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The volume of the sphere is (4/3)π(2³) = 33.51 cm³. The side of the cube is therefore ∛33.51 = 3.23 cm.
Common mistakes: Using diameter instead of radius; Not taking cube root
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Marking points
M1 · 1 mark · States/uses volume of a sphere formula.
M2 · 1 mark · Equates volume to s³ and takes cube root.
A1 · 1 mark · Finds s = 3.23 cm to 3 s.f.
Worked solution