Question

find the edge of a cube whose lateral surface area is 36 cm².
answer should be correct ..
i will mark as brainliest..​

Answer 1

Answer:

Given :-

• A cube whose lateral surface area is 36 cm².

To Find :-

• What is the edge of a cube.

Formula Used :-

$\clubsuit$ Lateral Surface Area or L.S.A. Of Cube Formula :

$\small \bigstar \: \: \sf\boxed{\bold{\pink{Lateral\: Surface\: Area_{(Cube)} =\: 4a^2}}}\: \: \: \bigstar$

where,

• a = Side or Edge

Solution :-

Let,

$\mapsto \bf Edge_{(Cube)} =\: a\: cm$

Given :

• Lateral Surface Area or L.S.A. of Cube = 36 cm²

According to the question by using the formula we get,

$\small \implies \bf Lateral\: Surface\: Area_{(Cube)} =\: 4a^2$

$\implies \sf 36 =\: 4a^2$

$\implies \sf \dfrac{36}{4} =\: a^2$

$\implies \sf 9 =\: a^2$

$\implies \sf \sqrt{9} =\: a$

$\implies \sf 3 =\: a$

$\implies \sf\bold{\blue{a =\: 3}}$

Hence, the required edge of a cube is :

$\dashrightarrow \sf Edge_{(Cube)} =\: a\: cm$

$\dashrightarrow \sf\bold{\red{Edge_{(Cube)} =\: 3\: cm}}$

$\sf\bold{\purple{\underline{\therefore\: The\: edge\: of\: a\: cube\: is\: 3\: cm\: .}}}$

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