Question

the total surface area of cube is 1176 cm square find its volume

Answer 1

Given T.S.A = 1176 cm.

           6a^2 = 1176

             a^2 = 196

              a = 14cm.

Volume of cube = a^3 = 14^3 = 2744 cm^3.

Answer 2

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

T.S.A of cube is 1176 cm²

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

Find the volume of the cube = ?

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

We have given that the

T.S.A. of cube is 1176 cm²

To Find the T.S.A. of cube, we use the formula:- 6a²

According to Question :-

$\implies$ 1176 = 6a²

$\implies$ a² = $\large{\sf {\frac{1176}{6}}}$

$\implies$ a² = 196

$\large\bf{a = 14 \: cm}$

Now, we have to find the volume of cube

We know that, the formula to find the Volume of cube is :- a³

Putting the values in formula

$\implies$Volume = (14)³

$\implies$Volume = 2744 cm³

Thus, the volume of cube is 2744 cm³

$\huge\underline\mathrm{ThAnKs...}$