the base of a square prism has sides of 14in. What is the surface area of the prism

To find the surface area of a square prism, you need to add up the areas of all its faces. For a square prism, there are two identical square bases and four rectangular faces.

To start, let's calculate the area of one square base.
If the side of the square base is 14 inches, the area of one base can be found by squaring the side length: 14 * 14 = 196 square inches.

Next, let's find the area of one rectangular face.
Since the base of the prism is a square, the adjacent sides of the rectangle have the same length as the side of the square base, which is 14 inches. The height of the prism represents the height of the rectangular face.
Assuming the height of the prism is given, let's say 8 inches, the area of one rectangular face is given by multiplying the length and the height: 14 * 8 = 112 square inches.

Because there are two base faces and four rectangular faces in total, we can calculate the surface area of the prism by adding up all these areas: (2 * 196) + (4 * 112) = 392 + 448 = 840 square inches.

Therefore, the surface area of the given square prism with a base side length of 14 inches is 840 square inches.