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

How Many Cubic Feet Of Warehouse Space Are Needed For 430 Boxes 12in By 8in By 9in class=

Sagot :

SOLUTION

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

[tex]\begin{gathered} \frac{12}{12}ft\times\frac{8}{12}ft\times\frac{9}{12}ft \\ =1\times\frac{2}{3}\times\frac{3}{4} \\ =\frac{2}{4} \\ =\frac{1}{2}ft^3 \end{gathered}[/tex]

So each boxes in feet will measure half cubic foot.

The warehouse that will contain 430 of these boxes should measure

[tex]\begin{gathered} 430\times\frac{1}{2} \\ =215ft^3 \end{gathered}[/tex]

Hence, the answer is 215 cubic-feet