What is the volume of a sandbox that is #1 1/3# feet tall, #1 5/ 8# feet wide, and #4 1/2# feet long. How many cubic feet of sand is needed to fill the box?

1 Answer
sophie
Apr 23, 2018

5 cubic feet of sand.

Explanation:

The formula to find the volume of a rectangular prism is #l*w*h#, so to solve this problem, we can apply this formula.

#1 1/3 * 1 5/8 * 4 1/2#

The next step is to rewrite the equation so we're working with improper fractions (where the numerator is larger than the denominator) instead of mixed fractions (where there are whole numbers and fractions).

#4/3 * 12/8 * 5/2 = 240/48#

Now to simplify the answer by finding the LCF (lowest common factor).

#240/48 -: 48 = 5/1=5#

Thus the sandbox is #5# cubic feet and needs #5# cubic feet of sand in order to fill it.

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