Question

7. A right rectangular prism with dimensions in centimeters (cm) is shown.31 cm6 77 cm21 cmWhat is the volume, in cubic centimeters, of the prism?OOOO

Answer 1

The equation to find the volume of a right rectangular prism is the following;

$V=l\cdot w\cdot h$

in this case, we have the following information about the rectangular prism:

$\begin{gathered} l=2\frac{1}{2}=\frac{5}{2} \\ w=6\frac{1}{4}=\frac{25}{4} \\ h=3\frac{1}{5}=\frac{16}{5} \end{gathered}$

then, using the formula, we get:

$\begin{gathered} V=(\frac{5}{2})(\frac{25}{4})(\frac{16}{5})=\frac{5\cdot25\cdot16}{2\cdot4\cdot5}=\frac{2000}{40}=50 \\ V=50\operatorname{cm} \end{gathered}$

therefore, the volume is 50 cm^3