contestada

calculator allowed
QUESTION 2 OF 5
Video
Hint
Report
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 181818 feet (\text{ft})(ft)left parenthesis, start text, f, t, end text, right parenthesis, the internal length as 20\,\text{ft}20ft20, start text, f, t, end text, and the internal height as 30\,\text{ft}30ft30, start text, f, t, end text. 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\%10%10, percent. If the architect creates a second scale drawing where the townhouse's height is reduced by 10\%10%10, percent, what will be its new proposed internal volume in cubic feet?
Answer:

Respuesta :

MrRoyal

The new proposed internal volume of the building in cubic feet is 9720 cubic feet

How to determine the internal volume?

The given parameters are:

Internal Length = 20 ft

Internal Width = 18 ft

Internal Height = 30 ft

From the question, the internal height is reduced by 10%.

So, the new internal height of the building is:

Internal height = Initial Internal Height * (1 - 10%)

This gives

Internal height = 30 ft * (1 - 10%)

Evaluate the product

Internal height = 27 ft

The new proposed internal volume in cubic feet is calculated as:

Volume = Internal Length * Internal Width * Internal Height

Substitute the known values in the above equation

Volume = 20 ft * 18 ft * 27 ft

Evaluate the product

Volume = 9720 cubic feet

Hence, the new proposed internal volume of the building in cubic feet is 9720 cubic feet

Read more about volumes at:

https://brainly.com/question/1972490

#SPJ1

Complete question

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, 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 townhouse's height is reduced by 10%, what will be its new proposed internal volume in cubic feet?

Otras preguntas