Question

What is the volume of a rectangular prism with a height of 3 5/6 yd, length of 8 1/6yd, and a width of 4 1/3 yd? Your answer can be exact orrounded to the nearest hundredth.

Answer 1

the volume of a rectangular prism is given by

$V=\text{height}\times lenght\times width$

In order to find the volume, we need to convert the mixed fractions into a simple fraction form. That is,

$\begin{gathered} 3\frac{5}{6}=\frac{6\cdot3+5}{6}=\frac{23}{6} \\ 8\frac{1}{6}=\frac{6\cdot8+1}{6}=\frac{49}{6} \\ 4\frac{1}{3}=\frac{3\cdot4+1}{3}=\frac{13}{3} \end{gathered}$

By substituting these values into our formula we get

$\begin{gathered} V=(\frac{23}{6})(\frac{49}{6})(\frac{13}{3}) \\ V=135.657yd^3 \end{gathered}$

By rounding down to the nearest hundred, the answer is 135.66 cubic yards