Part C Lisa must decide on the dimensions of the tiny house as the final design decision. The tiny house will have a flat roof, as in the diagram below. 10 Lisa designs the tiny house as a rectangular prism. The maximum width of the house is 8.5 feet. The ceiling height must be at least 11 feet. The volume is set at 3,240 cubic feet. Maximum 8.5 feet Minimum 11 feet ? What should be the final dimensions of the tiny house? Make a recommendation for the final dimensions of the tiny house that will fit within the constraints. Show your work and explain your answer.

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MrRoyal MrRoyal · Answer 1 · 2022-06-07T07:28:29+02:00

The possible dimensions of the building (i.e. the tiny house) are 34.7 by 8.5 by 11 feet

The diagram is not given; however, the question can still be solved with the available parameters

The given parameters are:

The length is calculated as:

Length = Volume/(Width * Height)

Substitute known values

Length = 3240/(8.5 * 11)

Evaluate the quotient

Length = 34.7

This means that the length of the building would be 34.7 feet, if the width is at maximum and the height is at minimum.

Hence, the possible dimensions of the building are 34.7 by 8.5 by 11 feet