The figure below is a net for a rectangular prism. Side a = 23 inches, side b = 17 inches, and side c = 8 inches. What is the surface area of this figure?

Answer 1

There are six faces to a rectangular prism, each with an area that can be calculated by multiplying the length and width of the face.

Face 1: a x b = 23 x 17 = 391 square inches
Face 2: a x b = 23 x 17 = 391 square inches
Face 3: c x b = 8 x 17 = 136 square inches
Face 4: c x b = 8 x 17 = 136 square inches
Face 5: a x c = 23 x 8 = 184 square inches
Face 6: a x c = 23 x 8 = 184 square inches

To find the total surface area of the rectangular prism, we add up the areas of all six faces:

391 + 391 + 136 + 136 + 184 + 184 = 1,422 square inches

Therefore, the surface area of the rectangular prism is 1,422 square inches.