Question

if the lateralsurface area of a cube is 100cm^2 then find its volume

Answer 1

Hi !!!!!!

Here is your answer,

Given :- lateral surface area of a cube = 100cm square.


$Lateral \: \: surface \: \: area \: \: of \: \: cube = 100 {cm}^{2} \\ \\ = > 4 \times {(side)}^{2} = 100 \\ \\ = > {(side)}^{2} = \frac{100}{4} \\ \\ = > {(side)}^{2} = 25 \\ \\ = > side = \sqrt{25 } \\ \\ = > side = \sqrt{25} \\ \\ = > side = 5$

Side of the cube is 5cm.


$Volume \: \: of \: \: the \: \: cube = {(side)}^{3} \: \: {cm}^{3} \\ \\ = {(5)}^{3} \: \: {cm}^{3} \\ \\ = 5 \times 5 \times 5 \: \: \: \: {cm}^{3} \\ \\ = 125 {cm}^{3}$



Hope it helps !!!!!!

Answer 2

Given Lateral surface area of cube = 100 cm²
⇒ 4(side of cube)² = 100 cm²
⇒ (side of cube)² = 100/4 = 25cm²
⇒ side of cube = 5 cm

Volume of cube = (side)³ = 5³ = 125 cm³