Question

elizabeth models the volume of a popcorn box as a right rectangular prism. its dimensions are 2 1/4 in by 2 1/4 in by 6 1/4 in. how many cubic inches of popcorn would it hold when it is full? round your answer to the nearest tenth if necessary.

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$, $6\frac{1}{4}=\frac{6\times4+1}{4}=\frac{25}{4}$

Step2: Use the volume formula for a rectangular prism \(V = l\times w\times h\)

Here \(l = w=\frac{9}{4}\), \(h=\frac{25}{4}\)
\(V=\frac{9}{4}\times\frac{9}{4}\times\frac{25}{4}\)

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Answer:

\(31.6\) cubic inches