Question

find the edge of cube whose lateral surface area is 36 cm

Answer 1

hi frnd ,

let the edge of cube be 'a'

L.S.A of cube is 4a²

given lateral surface area is 36cm²

4a²=36

a²=9

a=3

the edge is 3 cm

hope it helps u ;)

Answer 2

The edge of the cube is 3 cm.

• Lateral surface area(LSA) of the cube is the sum of areas of all four side faces of the cube excluding the top and bottom surface.
• Let a be the edge of cube.
• Given,

                 LSA = 36 $cm^{2}$

• Number of lateral surface in a cube = 4
• Area of each surface = $\frac{36}{4} = 9 cm^{2}$
• Each surface of a cube is a square.
• Area of square with side a = $a^{2}$

                            $a^{2} = 9 cm^{2} \\a = \sqrt{9cm^{2} } \\a=3 cm$

Therefore, edge of the cube is 3 cm.