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.

Answer 1

To find the surface area of the pyramid, we need to calculate the sum of the areas of all its faces.

The base of the pyramid has an area of b^2 = 3^2 = 9 in^2.

The four triangular faces have identical dimensions and area, given by 4(1/2)(12)(8) = 192 in^2.

Therefore, the total surface area of the pyramid is 9 + 192 = <<9+192=201>>201 in^2.

Leonard will need 201 square inches of cardboard to construct the pyramid.