Question

the total surface area of cube is 216 cm find the volume of Cube

Answer 1

Given T.S.A of cube is 216 cm2
we know that 
t.s.a of cube is 6a²
but from the problem is 216cm²
so, 6a²=216
     => a²=216/6
      =>a²=36
       => a=6
therefore side of the given cube is 6cm
therefore volume of cube is a³ =6³ =216

Answer 2

$\huge\underline\mathrm{Given:-}$

T.S.A of cube is 216 cm²

$\huge\underline\mathrm{To\:Find:-}$

Find the volume of cube =?

$\huge\underline\mathrm{SoLution:-}$

We have given that the T.S.A. of cube is 216 cm²

We know that ,the formula to find the T.S.A. of cube is $\bf$6a²

$\implies$ 6a²= 216

$\implies$ a² = 216/6

$\implies$ a² = 36

$\large\bf{ a = 6 cm}$

To find the volume of cube, we se the formula,

Volume of cube = a³

$\implies$ (6)³ = 216 cm³

Thus, the volume of cube is 216 cm³