Question

Find the volume of cube whose surface area is 294cm3

Answer 1

Hi !!!!!!

Here is your answer,

Given :- total surface area of cube = 294cm cube.

$total \: \: surface \: \: area \: \: = 294 {cm}^{3} \\ \\ = > 6 \times {(side)}^{2} = 294 \\ \\ = > {(side)}^{2} = \frac{294}{6} \\ \\ = > {(side)}^{2} = 49 \\ \\ = > side = \sqrt{49} \\ \\ = > side = 7$

Side of the cube = 7 cm


$Volume \: \: of \: \: the \: \: cube = {(side)}^{3} { \: \: cm}^{3} \\ \\ = ({7)}^{3} \: \: {cm}^{3} \\ \\ = 7 \times 7 \times 7 \: \: \: {cm}^{3} \\ \\ = 343 \: \: {cm}^{3}$



Hope it helps !!!!!!!

Answer 2

Given total surface area of cube = 294 cm²
⇒ 6 (side of cube)² = 294 cm²
⇒ (side of cube)² = 294/6 = 49 cm²
⇒ side of cube = 7 cm

Volume of cube = (side of cube)³ = 7³ = 343 cm³