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find the volume of the rectangular prism. write your answer as a whole …

Question

find the volume of the rectangular prism.
write your answer as a whole number, a proper fraction, or a mixed number.
cubic centimeters

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Substitute given values

Here, $l=\frac{7}{8}$ cm, $w = \frac{1}{3}$ cm, $h=\frac{3}{7}$ cm. So $V=\frac{7}{8}\times\frac{1}{3}\times\frac{3}{7}$.

Step3: Multiply the fractions

$\frac{7}{8}\times\frac{1}{3}\times\frac{3}{7}=\frac{7\times1\times3}{8\times3\times7}=\frac{21}{168}$.

Step4: Simplify the fraction

$\frac{21}{168}=\frac{1}{8}$ (divide both numerator and denominator by 21).

Answer:

$\frac{1}{8}$