Question

Use the net to determine the total surface area. The net of a prism with width 10 inches, length 8 inches, and height 2 inches is laid flat.

A. 72 in²
B. 192 in²
C. 232 in²
D. 200 in²

Answer 1

To find the total surface area of the prism, calculate the areas of all the faces and add them together. The total surface area is 160 square inches.

Step-by-step explanation:

To find the total surface area of the prism, we need to calculate the areas of all the faces and add them together.

1. Find the areas of the two rectangular faces: Length x Width = 10 inches x 8 inches = 80 square inches each.
2. Find the areas of the four smaller rectangular faces: Length x Height = 10 inches x 2 inches = 20 square inches each. There are four of them, so the total area is 20 square inches x 4 = 80 square inches.
3. Add up the areas: 80 square inches + 80 square inches = 160 square inches.

Therefore, the total surface area of the prism is 160 square inches.