Question

The diagonal of cube is underoot 12 cm . Find its volume . Please answer with explanation

Answer 1

Side of a cube = a
Length of a Diagonal in a cube = √3a = √12 cm
 √3a = √12 cm
 a = √12 ÷ √3
 a = √ 4                     [ √ 4 = 2 ]
 a = 2
 
Side of the cube = 2 cm

As we know , 
Volume of a cube = a³
                             = 2³
                             = 8 cm³

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Answer 2

Given length of diagonal of a cube = √12 cm Recall 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
volume = 2^3
=2×2×2
=8cm^3