Question
Find the length of the diagonal of a cube with volume
81√3 cm³?Solution
Let side of the cube be a cm then Volume of Cube = a3 So a3 = 81√3 a3 = 27 × 3√3 a3 = 33 × (√3)3 a3 = 33 × (√3)3 a = 3√3 Diagonal of cube = a√3 = 3√3 (√3) =9 cm
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