Question

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

Answer 1

13 ft.

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
`*` area of a square.

And we know that area of a square =
`side^(2)`.

Hence, Lateral surface area =
`4 * side^(2)`

As per question:

`4 * side^(2)` = 676

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

Hence, side length of cube = 13 feet.