Question

the lenght of a diagonal of a cube is 8root3 cm then volume of the cube is

Answer 1

Answer:

$8 \sqrt{3} = \sqrt{2 {a}^{2} } \\ = > \sqrt{282} = \sqrt{2 {a}^{2} } \\ = > 2 {a}^{2} = 282 \\ {a }^{2} = 141 \\ a = \sqrt{141} \\ \\ \\ therefore \\ volume \: of \: cube = {a}^{3} = 141 \sqrt{141}$