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

what is the total volume of air inside the skylight?

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:

Hence, volume is 588 sq. in.

attachment?

step-by-step explanation:

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

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then, the solutions are: or

nothing extraneous has been found!