Question

If the total surface area of cube is numerically equal to its volume.Find it's lateral surface area​

Answer 1

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Let , side of the cube be x

According to the question ,

$</p><p> \sf \implies TSA \: of \: cube = Volume \: of \: cube \\ \\ \sf \implies</p><p>6 {(a)}^{2} = {(a)}^{3} \\ \\ \sf \implies </p><p>a = 6$

We know that ,

$\huge{ \star} \: \large \fbox{ \fbox{ \sf \: LSA \: of \: cube = 4 {(a)}^{2} \: }}$

$\sf \implies LSA \: of \: cube = 4 × {(6)}^{2} \\ \\ \sf \implies </p><p>LSA \: of \: cube = 4 × 36 \\ \\ \sf \implies </p><p>LSA \: of \: cube = 144 \: \: </p><p>units$

Therefore , 144 units is the LSA of cube

Answer 2

the answer is. LSA of a cube is 144 units