Question

if the lateral surface area of a cube is
${324cm}^{2}$
then the total surface area of the cube is​

Answer 1

Step-by-step explanation:

Given, LSA of Cube = 324 sq. cm

We Know, LSA of Cube = 4×(side)^2

i.e. 4×(side)^2 = 324

(side)^2 = 324/4

(side)^2 = 81

(side) =

$\sqrt{81}$

Therefore Side of Cube = 9 cm

Now TSA of Cube = 6(side)^2

= 6×(9)^2

= 6×(81)

= 486 sq. cm.

Answer 2

LSA of cube = 324cm²(given)

Let side = a

LSA = 4a²

324 = 4a²

324/4 = a²

81 = a²

a = 9cm (side)

TSA = 6a²

= 6(9)²

= 486cm²

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