The figure below is a net for a rectangular prism. Side a = 70 centimeters, side b = 21 centimeters, and side c = 26 centimeters. What is the surface area of this figure?

Answer 1

First, we need to find the area of each rectangular face. The top and bottom faces each have an area of a * b = 70 * 21 = 1470 square centimeters.

The front and back faces each have an area of a * c = 70 * 26 = 1820 square centimeters.

The left and right faces each have an area of b * c = 21 * 26 = 546 square centimeters.

Now, to find the total surface area, we add up the areas of all six faces:

2 * (a * b) + 2 * (a * c) + 2 * (b * c)
= 2 * 1470 + 2 * 1820 + 2 * 546
= 2940 + 3640 + 1092
= 7672

Therefore, the surface area of the rectangular prism is 7672 square centimeters.