Math CentralQuandaries & Queries





A garden is 8 ft x 7 ft that needs to raised 6 inch's How many cubic feet of soil required ? What am I missing ?



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We got a reply

Thanks, but I require to know the formula, and/or expanded notation in preparation for a pre-exam.

Thank you


Sorry about that.

You have a rectangular prism (box) that is 8 feet by 7 feet by 6 inches. The volume of a box is its length times its width times its depth. If these three measurements are in the same units then the volume is in cubic units. Yo want the volume in cubic feet so it would be helpful if all the units were in feet. The length and width are in feet but the depth is 6 inches. There are 12 inches in a foot so the depth is $\large \frac{6}{12} \normalsize = \large \frac12$ feet. Thus the volume of the box is

\[8 \times 7 \times \frac12 \mbox{ cubic feet.}\]

I hope this helps,

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