Use this net to find the surface area of the rectangular prism it represents. ( 2 ft, 5 ft, 8 ft. )

Answer 1

To find the surface area of a rectangular prism using its net, you need to find the area of each individual face and then add them all together.

In this case, the net of the rectangular prism consists of 6 faces: 2 rectangles measuring 5 ft by 8 ft, 2 rectangles measuring 2 ft by 8 ft, and 2 rectangles measuring 2 ft by 5 ft.

First, find the area of each face:

1. Area of a rectangle = length x width
- 5 ft x 8 ft = 40 sq ft (for the top and bottom faces)
- 2 ft x 8 ft = 16 sq ft (for the front and back faces)
- 2 ft x 5 ft = 10 sq ft (for the left and right faces)

Next, add up the areas of all 6 faces to find the total surface area:
40 sq ft + 40 sq ft + 16 sq ft + 16 sq ft + 10 sq ft + 10 sq ft = 132 sq ft

Therefore, the surface area of the rectangular prism is 132 square feet.