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. The base is five feet The Width is eight feet The Hight is four feet The base edge is 4.75ft
To determine the surface area of the triangular prism tent, we need to calculate the area of each of the faces and then add them up.
1. Base (triangle face): The triangular base of the prism has a base edge of 4.75ft and a height of 4ft. The area of a triangle is calculated as 1/2 * base * height. So, the area of the base is 1/2 * 4.75ft * 4ft = 9.5 square feet.
2. Lateral faces (rectangles): The triangular prism has three rectangular lateral faces. The area of a rectangle is calculated as length * width. In this case, the length of each lateral face is 5ft (base) and the width is 4ft (height). So, the area of each lateral face is 5ft * 4ft = 20 square feet. Since there are three lateral faces, the total area of the lateral faces is 3 * 20ft = 60 square feet.
3. To find the total surface area of the triangular prism tent, we add the areas of the base and the lateral faces: 9.5ft² + 60ft² = 69.5 square feet.
Therefore, the amount of fabric needed to make the tent would be approximately 69.5 square feet.