Question

total surface area of cube is 864sq.cm find its volume

Answer 1

TSA of cube = 864

=> 6a^2 = 864

=> a^2 = 144

=> a = 12

Edge of cube = 12 cm

Volume = a^3

= 12*12*12

= 144 * 12

= 1728 cm^2

Answer 2

Given : -
T.S.A of cube = 864 cm square

$T.S.A = 864 \\ \\ 6 \times (side)^2 = 864 \\ \\ (side)^2 = \frac{864}{6} \\ \\ ({side)}^{2} = 144 \\ \\ side = \sqrt{144} \\ \\ side = 12$

side of the cube = 12cm


$Volume \: = {(side)}^{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {(12)}^{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1728 {cm}^{3}$