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 tent: (4.75ft) (4
To determine the surface area of the tent, we first need to calculate the surface area of each face of the triangular prism.
There are three faces of the triangular prism:
1. The triangular base: This is a triangle with a base of 4.75ft and a height, which can be calculated using the Pythagorean theorem since it is a right triangle. Let's say the height of the triangle is 3ft. The area of the triangular base can be calculated using the formula for the area of a triangle: 1/2 * base * height.
2. The front rectangle face: This face is a rectangle with dimensions of 4.75ft by 4ft. The area of this face can be calculated by multiplying the length and width of the rectangle.
3. The back rectangle face: This face is identical to the front face, with dimensions of 4.75ft by 4ft.
To find the total surface area of the tent, add up the surface area of each face:
Surface area of triangular base: 1/2 * 4.75ft * 3ft = 7.125 square feet
Surface area of front rectangle face: 4.75ft * 4ft = 19 square feet
Surface area of back rectangle face: 4.75ft * 4ft = 19 square feet
Total surface area of the tent: 7.125 + 19 + 19 = 45.125 square feet
So, you would need 45.125 square feet of fabric to make the tent.