Question

luis models the volume of a popcorn box as a right rectangular prism. its dimensions are $3\frac{1}{2}$ in by 2 in by $6\frac{3}{4}$ 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

$3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$, $6\frac{3}{4}=\frac{6\times4+3}{4}=\frac{27}{4}$

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

$V=\frac{7}{2}\times2\times\frac{27}{4}$
First, $\frac{7}{2}\times2 = 7$
Then $V = 7\times\frac{27}{4}=\frac{189}{4}=47.25$

Answer:

$47.3$ (rounded to the nearest tenth)