Question

One of the skylights on the roof of Bianca’s building is in the shape of the solid below.

Answer 1

Answer:

588 sq. in.

Step-by-step explanation:

The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.

So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.

Formula for volume of a pyramid is:

V = 1/3 * Area of Base * height

Area of Base (since it is a square) = 14 * 14 = 196

Height is 9

plugging into the formula, we get:

$V=\frac{1}{3}*BaseArea*height\\=\frac{1}{3}*196*9\\=588$

Hence, volume is 588 sq. in.