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 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.