The lateral area of a cube is 36 square inches. How long is each edge?
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
The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.
Lateral area of a cube = 4a², wherea is the length of each edge of the cube.
Given the parameters:
4a² = 36
a² = 36/4
a² = 9
a = 3 inches.
Length of each edge of the cube = 3 inches.
Learn more about lateral area of cube on:
https://brainly.com/question/15726306
#SPJ2