Question

A cube has a lateral area of 676 square feet. What is the side length of the cube?

Answer 1

Answer:

13 ft.

Step-by-step explanation:

Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.

It can be seen seen from the attached figure as well.

Each face in a cube is a square. And each side in the cube is equal.

So, Lateral surface area is nothing but 4 $\times$ area of a square.

And we know that area of a square = $side^{2}$.

Hence, Lateral surface area = $4 \times side^{2}$

As per question:

$4 \times side^{2}$ = 676

$side^2 = 169 \\\Rightarrow side = 13$

Hence, side length of cube = 13 feet.