Question

Maggie is planning to build a new one-story with a floor area of 3000 square feet. she is thinking about putting in an 8 ft. ceiling instead of a 7ft. ceiling. If she does this, how many more cubic feet of space will she have to heat and cool?

Answer 1

You need to find the volume of extra space. The space has the shape of a right rectangular prism.

The formula for the volume of a right rectangular prism is

`V=A\cdot h`

Where A is the floor area and h is the height of the ceiling

If Maggie puts a 7 ft ceiling then the volume of the space will be

`V1=3000ft^2\cdot7ft=21000ft^3`

But if she puts an 8 ft ceiling instead, the volume will be

`V2=3000ft^2\cdot8ft=24000ft^3`

Then the extra space she will have to heat and cool will be

`V2-V1=24000ft^3-21000ft^3=3000ft^3`

Maggie will have to heat and cool 3000 ft³ more of space if she puts an 8 ft. ceiling