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Square Roots & Cube Roots · Discussion forum

Diagram-Based Questions Question 12 – answer, explanation & discussion

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Question 12 Back to Exercise

A large cube is cut into small cubes of edge 2 cm, with nothing wasted.

Cutting a large cube
?Volume = 10,648 cm³Small cubes: edge 2 cmHow many small cubes?

How many small cubes are obtained?

  • A 1,331 Correct
  • B 5,324
  • C 121
  • D 2,662
Correct Answer: Option A

Edge of large cube = ∛10,648 = 22 cm

Small cubes along each edge = 22 ÷ 2 = 11

Number = 11³ = 1,331

Trap: 5,324 divides the volume by 2, not by 2³.

Answer: 1,331

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