The tent below is shaped like a triangular prism. EXPLAIN how you would determine the surface area of the tent to find the amount of fabric needed to make the tent. Remember to describe each face of the triangular prism.
Explain in words.
The base is 5 FT(Feet)
Height is 4 FT(Feet)
Length is 8 FT(Feet)
Width is 4.75 FT(Feet)
It is a triangular prisms.
To determine the surface area of the tent, we first need to find the area of each face of the triangular prism.
1. The base of the triangular prism is a triangle with a base of 5 feet and a height of 4 feet. The formula to find the area of a triangle is A = 1/2 * base * height. Plugging in the values, we get A = 1/2 * 5 * 4 = 10 square feet. There are two triangular faces, so the total area of the triangular faces is 2 * 10 = 20 square feet.
2. The other three faces of the triangular prism are rectangles with a length of 8 feet and a width of 4.75 feet. The formula to find the area of a rectangle is A = length * width. Plugging in the values, we get A = 8 * 4.75 = 38 square feet for each of the three rectangular faces. Therefore, the total area of the rectangular faces is 3 * 38 = 114 square feet.
Adding the areas of the triangular faces and the rectangular faces together, we get the total surface area of the tent: 20 + 114 = 134 square feet. Therefore, 134 square feet of fabric would be needed to make the tent.