Question

Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X 30'. The ceiling height is 10'. What is the total volume of your cabin? Group of answer choices 9420 Cubic Feet 9240 Cubic Feet 9240 Square Feet 9420 Square Feet

Answer 1

Answer:
`9240\ ft^3`

Explanation:

Given

Dimension of the bathroom is
`12'* 16'`

Dimension of the bedroom is
`14'* 18`

Dimension of the great room is
`20'* 30'`

Height of the ceiling is
`h=10'`

Total area of the cabin

`\Rightarrow A=12*6+14* 18+20* 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2`

Volume of the cabin is
`V=A* h`

`\Rightarrow V=924* 10\\\Rightarrow V=9240\ ft^3`