Question

1\frac{1}{3} in.\\
\frac{7}{8} in.\\
1\frac{2}{7} in.\\
write your answer as a whole number, a proper fraction, or a mixed number.\\
cubic inches

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}$, $1\frac{2}{7}=\frac{1\times7+2}{7}=\frac{9}{7}$

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

$V=\frac{4}{3}\times\frac{9}{7}\times\frac{7}{8}$

Step3: Multiply the fractions

$V=\frac{4\times9\times7}{3\times7\times8}$
Cancel out common factors: 7 in the numerator and denominator, and 4 and 8 (4 divides into 8), 3 and 9 (3 divides into 9).
$V=\frac{1\times3\times1}{1\times1\times2}=\frac{3}{2}=1\frac{1}{2}$

Answer:

$1\frac{1}{2}$