Question

the total surface area of a cube is 1176. Find its volume

Answer 1

The total surface area of cube = 6l²

1176 = 6l²

∴ l² = 1176/6

∴ l² = 196

∴ l = 14 units

Now,

Volume of cube = l³

Volume of cube = (14)³

Volume of cube = 2744 units³

Answer:- Volume of cube = 2744 units³

Answer 2

Hey there!!

Thank u for your Question ,
Let a be the side of a cube

Total surface area of cube = 1176

$6 {a}^{2} = 1176 \\ = > {a}^{2} = \frac{1176}{6} \\ = > a = \sqrt{196} \\ = >a = 14$

where a - side. of a cube

volume of cube = a^3

= 14 ×14×14

=. 2744 unit ^3

Hope this helps u !!