The approximately 78 square feet of material to make the tent.
The tent in the figure is a triangular prism.
To find the surface area, you'll need to find the areas of each of the triangles and rectangles that make up the tent, and then add all the areas up.
Here's how to do it:
Find the area of the front and back triangles.
The triangles are right triangles, with a base of 6 feet and a height of 3 feet.
The area of a triangle is half the base times the height, so the area of each triangle is (1/2) * 6 ft * 3 ft = 9 square feet.
Find the area of the sides.
The sides of the tent are rectangles with a base of 5 feet and a height of 3 feet.
The area of a rectangle is the base times the height, so the area of each side is 5 ft * 3 ft = 15 square feet.
Find the area of the bottom.
The bottom of the tent is a rectangle with a base of 5 feet and a depth of 6 feet.
The area of a rectangle is the base times the depth, so the area of the bottom is 5 ft * 6 ft = 30 square feet.
Add up the areas of all the pieces.
Now that you have the areas of all the pieces, add them up to find the total surface area of the tent.
Total surface area = 2 * 9 square feet + 2 * 15 square feet + 30 square feet
Total surface area = 18 square feet + 30 square feet + 30 square feet
Total surface area = 78 square feet
Therefore, you would need approximately 78 square feet of material to make the tent.