Question

if the lateral surfacearea of a cube is 1600cm(square) then its edge is?

Answer 1

LSA of cube = 1600 cm²
⇒4a² = 1600
⇒ a² = 1600/4=400
⇒ a = √400 = 20m

so its edge is 20m

Answer 2

The edge of the cube is 20 cm.

Step-by-step explanation:

Given,

The lateral surface area of a cube(LSA) = 1600 $cm^{2}$

Let the edge of the cube = a

To find, the edge of the cube = ?

We know that,

The lateral surface area of a cube(LSA) =$4a^{2}$

⇒$4a^2=1600$

⇒ $a^2=\dfrac{1600}{4}=400$

⇒ $a^2=20^{2}$

⇒ a = 20 cm

The edge of the cube = 20 cm

Hence, the edge of the cube is 20 cm.