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| Math Central | Quandaries & Queries |
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Question from Dave: How do I convert: 1 foot wide x 15 inches high x 19 inches deep We are trying to figure out how to convert the linear footage into cubic footage the above are the figures represent just 1 linear feet of several thousand Any thing helps, Thanks in advance Dave |
Hi Dave,
Since you want the result in cubic feet it is easiest to express the dimensions in feet. There are 12 inches in a foot so 15 inches is $\large \frac{15}{12}$ feet and 19 inches is $\large \frac{19}{12}$ feet. Thus your "box shaped" region is 1 foot by $\large \frac{15}{12}$ feet by $\large \frac{19}{12}$ feet. The volume of a box is the length times the width times the depth so your volume is
\[1 \times \frac{15}{12} \times \frac{19}{12} = 1.98 \mbox{ cubic feet.}\]
I hope this helps,
Penny
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