Q:

Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.

Accepted Solution

A:
The surface area of the tent is 21.4 m²Step-by-step explanation:To find the surface area of a prism you must calculate:1. The perimeter of the base2. The area of the base3. The height of the prismWe have a triangular prism:Its base is an equilateral triangle of side length 2 m and height 1.7 mThe height of the prism is 3 m∵ The surface are of the prism is:    S.A = perimeter of the base × height + 2 × area of the base∵ The perimeter of the equilateral triangle = 3 × length of a side∵ The length of the side = 2 m∴ The perimeter of the base = 3 × 2 = 6 m∵ The area of the triangle = [tex]\frac{1}{2}[/tex] × base × height∵ The length of the base of the triangle = 2 m∵ The height of the triangle = 1.7 m∴ The area of the base = [tex]\frac{1}{2}[/tex] × 2 × 1.7 = 1.7 m²∵ S.A = perimeter of the base × height + 2 × area of the base∵ The perimeter of the base = 6 m∵ The area of the base = 1.7 m²∵ The height of the prism = 3 m∴ S.A = 6 × 3 + 2 × 1.7∴ S.A = 18 + 3.4∴ S.A = 21.4 m²The surface area of the tent is 21.4 m²Learn more:You can learn more about surface area of a solid in brainly.com/question/12613605#LearnwithBrainly