Question

How many cubic feet of warehouse space are needed for 430 boxes 12in by 8in by 9in?

Answer 1

From the question we want to know how many cubic-feet of a warehouse can contain 430 boxes, whereby "each one" of these 430 boxes measures 12 inches by 8 inches by 9 inches

Firstly we have to change these inches of the sides of ecah of these boxes to feet.

12 inches make a foot.

Hence each box in feet will measure

`\begin{gathered} (12)/(12)ft*(8)/(12)ft*(9)/(12)ft \\ =1*(2)/(3)*(3)/(4) \\ =(2)/(4) \\ =(1)/(2)ft^3 \end{gathered}`

So each boxes in feet will measure half cubic foot.

The warehouse that will contain 430 of these boxes should measure

`\begin{gathered} 430*(1)/(2) \\ =215ft^3 \end{gathered}`

Hence, the answer is 215 cubic-feet