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: $9240\ ft^3$

Step-by-step explanation:

Given

Dimension of the bathroom is $12'\times 16'$

Dimension of the bedroom is $14'\times 18$

Dimension of the great room is $20'\times 30'$

Height of the ceiling is $h=10'$

Total area of the cabin

$\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2$

Volume of the cabin is $V=A\times h$

$\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3$