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.Georgia Milestones Grade 7 Mathematics Formula SheetA tent is shaped like a triangular prism. Its bases have a height measuring 4 feet and a base measuring 5 feet. The faces have a length measuring 8 feet and a width measuring 4.75 feet.
To find the surface area of the tent, we first need to calculate the area of each face of the triangular prism.
1. Top and bottom faces: These are both triangles with a base of 5 feet and a height of 4 feet. The area of a triangle is given by the formula A = 1/2 * base * height. Therefore, the area of each of these faces is 1/2 * 5 * 4 = 10 square feet.
2. Side faces: There are three side faces on a triangular prism. Each side face is a rectangle with a length of 8 feet and a width of 4.75 feet. The area of a rectangle is given by the formula A = length * width. Therefore, the area of each side face is 8 * 4.75 = 38 square feet.
Now, to find the total surface area of the tent, we add up the areas of all the faces:
Total surface area = 2(top and bottom faces) + 3(side faces)
= 2(10) + 3(38)
= 20 + 114
= 134 square feet
Therefore, the tent would require 134 square feet of fabric to make.