Question

if the lateral surface area of a cube is 900cm2 find the length of its side​

Answer 1

${ \huge{ \underline{ \red{ \bf{Given}}}}}$

Lateral surface area of cube = 900 cm²

Find :- Length of its side

Solution:-

${ \to{ \sf{LSA\: of \: cube = 4 {s}^{2} }}}$

${ \to{ \sf{4 {s}^{2} = 900}}}$

${ \to{ \sf{ {s}^{2} = \frac{900}{4} }}}$

${ \to{ \sf{ {s}^{2} = 225}}}$

${ \to{ \sf{s = \sqrt{225} }}}$

${ \to{ \sf{s = 15cm}}}$

Therefore Length of its side is 15 cm.

Answer 2

• The length of the side of a cube = 15 cm.

Given :

• The lateral surface area (L.S.A.) of a cube = 900 cm².

To Find :

• The length of the sides of a cube.

Solution :

Given,

Lateral surface area (L.S.A.) of a cube = 900 cm²

We know that,

Lateral surface area (L.S.A.) = 4a²

Where,

• a = side.

That means,

$:\implies \rm 4 {a}^{2} = 900 { \: cm}^{2} \\ \\ :\implies \rm {a}^{2} = \frac{900 \: {cm}^{2} }{4} \\ \\ :\implies \rm {a }^{2} = \dfrac{450}{2} \: {cm}^{2} \\ \\ :\implies \rm {a}^{2} = {225} \: {cm}^{2} \\ \\ :\implies \rm a = \sqrt{225 \: {cm}^{2} } \\ \\ :\implies \rm a = 15 \: cm \\ \\ \: \: \therefore \: \: \rm a = 15 \: cm$

Hence,

The length of the side of a cube is 15 cm.