Question

8. A tent is shaped like a triangular prism. Each end of the tent is an equilateral triangle with side length 4 feet. The tent is 9 feet long. Determine the surface area of the tent, not including the bottom. a About 43 sq. ft. b About 86 sq. ft. c About 122 sq. ft. d About 115 sq. ft.

          8. A tent is shaped like a triangular prism.
Each end of the tent is an equilateral triangle with side length 4 feet. The tent is 9 feet long.
Determine the surface area of the tent, not including the bottom.
a About 43 sq. ft. b About 86 sq. ft. c About 122 sq. ft. d About 115 sq. ft.

8. A tent is shaped like a triangular prism.
Each end of the tent is an equilateral triangle with side length 4 feet. The tent is 9 feet long.
Determine the surface area of the tent, not including the bottom.
a About 43 sq. ft. b About 86 sq. ft. c About 122 sq. ft. d About 115 sq. ft.

Added by Emma P.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Jerelyn Nevil

06/06/2022

Step 1

The formula for the area of an equilateral triangle is (side length^2 * sqrt(3)) / 4. So, the area of one end is (4^2 * sqrt(3)) / 4 = 4sqrt(3) square feet. Since there are two ends, the total area of the ends is 2 * 4sqrt(3) = 8sqrt(3) square feet. Show more…

Show all steps

Thanks for your feedback!

A tent is shaped like a triangular prism. Each end of the tent is an equilateral triangle with side length 4 feet. The tent is 9 feet long. Determine the surface area of the tent, not including the bottom. a About 43 sq. ft. b About 86 sq. ft. c About 122 sq. ft. d About 115 sq. ft.