Leonard is going to construct a pyramid with cardboard for math class. Find how many square inches (in.2) of cardboard he will need. Use 4(12)bh+b2 , where b , the base of the pyramid, is 3 in. and h , the height of the pyramid, is 8 in.(1 point)
in.2
To find the total surface area of the pyramid, we need to find the area of each face and then sum them up.
The base of the pyramid is a square with side length 3 in. So, the area of the base is 3 in. * 3 in. = 9 in^2.
Since the pyramid has a height of 8 in, its four triangular faces have a base of 3 in and a height of 8 in. Therefore, the area of each triangular face is (1/2) * 3 in. * 8 in. = 12 in^2.
Now we can find the total surface area by adding the area of the base and the four triangular faces: 9 in^2 + 4 * 12 in^2 = 9 in^2 + 48 in^2 = 57 in^2.
Thus, Leonard will need 57 square inches of cardboard for the pyramid.