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 $V = l\times w\times h$

$V=\frac{9}{4}\times\frac{9}{4}\times\frac{25}{4}$

Step3: Calculate the product

$V=\frac{9\times9\times25}{4\times4\times4}=\frac{2025}{64}=31.640625\approx31.6$ (rounded to the nearest tenth)

Answer:

$31.6$ cubic inches