What is the surface area of the triangular prism? A triangular prism. The base is 6 feet by 9 feet. The 2 rectangular sides are

Question

3 years ago

9

9 feet by 5 feet. The triangular sides have a base of 6 feet and height of 4 feet. _________ square feet

1 answer:

Darina [25.2K] · Answer 1 · 2022-03-09T01:05:51+03:00

Answer:

168 ft²

Step-by-step explanation:

The area of the two triangular bases is ...

total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²

The lateral area of the prism is the product of the triangle perimeter and the height of the prism.

lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²

The surface area is the sum of the base area and the lateral area:

surface area = base area + lateral area

surface area = 24 ft² +144 ft² = 168 ft²

The surface area of the prism is 168 square feet.