an architect has created a scale drawing for a residential townhouse in the shape of a rectangular prism. in…

an architect has created a scale drawing for a residential townhouse in the shape of a rectangular prism. in the drawing, the internal width of the townhouse is labeled as 18 feet (ft), the internal length as 20 ft, and the internal height as 30 ft. the local building department tells the architect that if built, the building would be too tall according to local zoning laws and that its height must be reduced by 10%. if the architect creates a second scale drawing where the townhouses height is reduced by 10%, what will be its new proposed internal volume in cubic feet?

an architect has created a scale drawing for a residential townhouse in the shape of a rectangular prism. in the drawing, the internal width of the townhouse is labeled as 18 feet (ft), the internal length as 20 ft, and the internal height as 30 ft. the local building department tells the architect that if built, the building would be too tall according to local zoning laws and that its height must be reduced by 10%. if the architect creates a second scale drawing where the townhouses height is reduced by 10%, what will be its new proposed internal volume in cubic feet?

Answer

Answer:

4860

Explanation:

Step1: Calculate new height

The original height is 30 ft. Reducing it by 10% means the new height $h$ is $h = 30\times(1 - 0.1)=30\times0.9 = 27$ ft.

Step2: Calculate volume

The volume $V$ of a rectangular - prism is given by $V=l\times w\times h$, where $l = 20$ ft, $w = 18$ ft and $h = 27$ ft. So $V=20\times18\times27=4860$ cubic feet.