Question

a rectangular prism has a volume of 98 cubic feet a width of 2 feet in Italy of 7 find the height of the rectangular prism

Answer 1

You have to determine the height of the rectangular prism, given that you know its volume, width, and length. To do so you have to work with the formula for the volume of the prism. This volume is calculated by multiplying the three lengths:

`V=w\cdot l\cdot h`

You have to write this formula for the height (h), so pass the term "wl" to the left side by applying the opposite operation to both sides of the equal sign. This means that you have to divide both sides of the expression by the product of the width and the length:

`\begin{gathered} (V)/(wl)=(wlh)/(wl) \\ (V)/(wl)=h \end{gathered}`

We know that V=98ft³, w=2ft, and l=7ft, replace the value on the formula to calculate h:

`\begin{gathered} h=(98)/(2\cdot7) \\ h=(98)/(14) \\ h=7 \end{gathered}`

The height of the rectangular prism is h= 7ft