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}* lenght* width`

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

`\begin{gathered} 3(5)/(6)=(6\cdot3+5)/(6)=(23)/(6) \\ 8(1)/(6)=(6\cdot8+1)/(6)=(49)/(6) \\ 4(1)/(3)=(3\cdot4+1)/(3)=(13)/(3) \end{gathered}`

By substituting these values into our formula we get

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

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