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

1 answer

To find the surface area of the pyramid, we need to calculate the area of each triangular face and the area of the base.

The formula for the surface area of a pyramid is:

SA = 4(1/2)(b)(h) + b^2

Given b = 3 in. and h = 8 in., we can substitute these values into the formula:

SA = 4(1/2)(3)(8) + 3^2
= 4(1/2)(3)(8) + 9
= 12(8) + 9
= 96 + 9
= 105

Therefore, Leonard will need 105 in.2 of cardboard.