Question

The lateral area of a cube is 36 square inches. How long is each edge?

Answer 1

Cubes have three square sides. The area of one side is the edge length squared:
36 = L^2
L = sqrt(36) = 6
The volume of a cube is edge length cubed:
V = L^3 = 216 cubic inches

Answer 2

The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.

What is the Lateral Area of a Cube?

Lateral area of a cube = 4a², wherea is the length of each edge of the cube.

Given the parameters:

• Lateral area = 36 square inches
• Length of each edge = a = ?

4a² = 36

a² = 36/4

a² = 9

a = 3 inches.

Length of each edge of the cube = 3 inches.

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