A cube has a surface area of 216 square inches. What is the edge length of the cube? Plz give a step by step answer

Explanation:

A cube is made up of 6 square faces. For now, focus on one square only. Let's say that square has a side length of x. So the area of that square is x*x = x^2. Since there are 6 faces, this means there is a total surface area of 6x^2

So,

SA = 6x^2

Replace the "SA" with 216 since we know the surface area. Then solve for x

216 = 6x^2

6x^2 = 216

x^2 = 216/6 divide both sides by 6

x^2 = 36

x = sqrt(36)

x = 6

If each square has a side length of x = 6 inches, then each square has an area of x^2 = 6^2 = 36 square inches. Then we multiply by 6 to get a total surface area of 6*36 = 216 square inches. This confirms the answer. You can use the formula to confirm the answer as well.

SA = 6x^2

SA = 6*6^2

SA = 6*36

SA = 216

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46.2+112.3

step-by-step explanation: