Question

A cardboard box is shaped like a cube. The length of each side is 15 inches.

What is the surface area of the box, in square inches?

Answer 1

1350
`in^(2)`

Explanation:

A cube has six sides. To find the area of a square, multiply the length by itself:

15 x 15 = 225

Since each side is the same (because the box is a cube), simply multiply 225 by 6 (the number of sides on a cube):

225 x 6 = 1350

Answer 2

Answer: 1350 square inches

Work Shown:

s = side length = 15 inches

SA = surface area of the cube

SA = 6s^2

SA = 6*15^2

SA = 6*225

SA = 1350

The surface area is 1350 square inches.

Note the formula has us compute the area of each square face, which is s*s = s^2. Then we multiply by 6 since there are 6 identical square faces on the cube.