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 prisim.
To determine the surface area of the triangular prism tent, we first need to identify and calculate the area of each of the five faces.
1. The two triangular faces: These faces are identical in shape and size, as they are the front and back walls of the tent. To calculate the area of one triangular face, we use the formula for the area of a triangle: A = 1/2 * base * height. In this case, the base and height of the triangle are 5 feet and 4 feet, respectively. So, the area of one triangular face is 1/2 * 5 * 4 = 10 square feet. Since there are two identical faces, the total area of the two triangular faces is 10 + 10 = 20 square feet.
2. The three rectangular faces: These faces make up the sides and bottom of the tent. To calculate the area of each rectangular face, we use the formula for the area of a rectangle: A = length * width. In this case, the length and width of the rectangle are 8 feet and 4.75 feet, respectively. So, the area of one rectangular face is 8 * 4.75 = 38 square feet. Since there are three identical faces, the total area of the three rectangular faces is 38 * 3 = 114 square feet.
Finally, to determine the total surface area of the tent, we add the areas of all five faces: 20 (triangular faces) + 114 (rectangular faces) = 134 square feet. Therefore, the amount of fabric needed to make the tent would be 134 square feet.