Question

abdoulaye models the volume of a popcorn box as a right rectangular prism. its dimensions are $2\frac{1}{4}$ in by $2\frac{1}{4}$ in by 5 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

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

Step2: Use the volume formula for a rectangular prism

The volume formula for a rectangular prism is $V=l\times w\times h$. Here, $l = \frac{9}{4}$, $w=\frac{9}{4}$, and $h = 5$.
So, $V=\frac{9}{4}\times\frac{9}{4}\times5$.
First, calculate $\frac{9}{4}\times\frac{9}{4}=\frac{81}{16}$.
Then, $V=\frac{81}{16}\times5=\frac{405}{16}=25.3125$

Answer:

$25.3$ cubic inches