The diagonal of a cube is 12 cm .find its volume.
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Given length of diagonal of a cube = √12 cmRecall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm
hence volume =side^3=2^3=8cm^3
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