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.
To determine the surface area of the triangular prism tent, we need to calculate the surface area of each face of the prism and then add them all together.
1. The base of the tent is a triangle. To find the area of this face, we can use the formula for the area of a triangle: 1/2 * base * height. Since the base is a triangle, the height of the triangle will be the slant height of the prism.
2. The other two faces of the triangular prism are rectangles. To find the area of a rectangle, we use the formula: length * width. For the rectangular faces of the prism, the length will be the base of the triangle face (since it's a triangular prism) and the width will be the height of the prism (the same as the height of the triangle face).
Once we calculate the surface areas of each face, we can add them all together to find the total surface area of the tent. This total surface area will tell us how much fabric is needed to make the tent.