The formula of the volume of a right rectangular prism is:
[tex]V=\text{width}\times height\times length[/tex]
Given the formula above, we can derive the formula for the height and that is:
[tex]\begin{gathered} V=whl \\ \frac{V}{wl}=\frac{whl}{wl} \\ \frac{V}{wl}=h \end{gathered}[/tex]
Since we know that Volume = 30 in³, length = 1/3 in, and width is 36 in, let's plug this in to the formula above for height.
[tex]\begin{gathered} h=\frac{V}{wl} \\ h=\frac{30in^3}{(36in)(\frac{1}{3}in)} \\ h=\frac{30in^3}{12in^2} \\ h=2.5in \end{gathered}[/tex]
Answer: Therefore, the height of the prism is 5/2 or 2.5 inches.
