The figure below is a net for a rectangular prism. Side a = 65 centimeters, side b = 24 centimeters, and side c = 18 centimeters. What is the surface area of this figure?

Answer 1

One way to approach this problem is to find the area of each face of the prism and then add them up.

First, let's label the sides of the prism using the net:

- Side 1 has dimensions a x c = 65 x 18
- Side 2 has dimensions b x c = 24 x 18
- Side 3 has dimensions a x b = 65 x 24

To find the surface area, we need to find the area of each face:

- Face 1 and 2 both have areas of a x c = 65 x 18 = 1170
- Face 3 has an area of b x c = 24 x 18 = 432
- The total surface area is the sum of the areas of all faces:

Surface area = 2(1170) + 432 = 2772

Therefore, the surface area of the rectangular prism is 2772 square centimeters.