space diagonal of a cube is 18 cm. Calculate the volume of the cube
Let side of cube be s. Then length of inner diagonal = √(s2 + s2 + s2) = s √3, so s = 18/√3 cm
Volume of cube = s3 = (18/√3)3 = 183/3√3 = 183*√3/9 = 2√3 * 182 = 648√3 cm3
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