Question

the dimensions of a cereal box in the shape of a right rectangular prism are shown below. 8\frac{1}{10} inches by 4\frac{4}{5} inches by 12\frac{1}{2} inches. what is the volume, in cubic inches, of the cereal box? show your thinking. 24 25\frac{2}{5} 384\frac{1}{25} 486

Explanation:

Step1: Convert mixed - numbers to improper fractions

$8\frac{1}{10}=\frac{8\times10 + 1}{10}=\frac{81}{10}$, $4\frac{4}{5}=\frac{4\times5+4}{5}=\frac{24}{5}$, $12\frac{1}{2}=\frac{12\times2 + 1}{2}=\frac{25}{2}$

Step2: Use the volume formula for a rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$. So $V=\frac{81}{10}\times\frac{24}{5}\times\frac{25}{2}$

Step3: Simplify the product

First, $\frac{24}{5}\times\frac{25}{2}=\frac{24\times25}{5\times2}=\frac{600}{10} = 60$. Then $\frac{81}{10}\times60=81\times6 = 486$

Answer:

$486$