Question

HELP PLEASE

Find the length of one edge of a cube if its lateral surface area is 144 square centimeters.

Answer 1

Lateral surface area is different then regular surface area. It is the area of the faces that are not the bases. In this case there is 4 square faces that are not the bases. So...

144/4=36, then take sqrt to get 6 edge length.

Answer 2

The length of one edge of the cube is 6 centimeters.

Explanation:

The lateral surface area of a cube is

`A=4a^2`

where a is the length of one edge of a cube.

It is given that the lateral surface area of the square is 144 square centimeters.

Substitute A=144 in the above formula.

`144=4a^2`

Divide both sides by 4.

`36=a^2`

Taking square root both the sides.

`√(36)=√(a^2)`

`6=a`

Therefore the length of one edge of the cube is 6 centimeters.