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:
[tex]V=\frac{1}{3}*BaseArea*height\\=\frac{1}{3}*196*9\\=588[/tex]
Hence, volume is 588 sq. in.
