Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is [tex]5cm^3[/tex]
And length is [tex]\frac{3}{4}[/tex] and width is [tex]1\frac{1}{3}[/tex]
That is V=5cm^3[/tex] , [tex]l=\frac{3}{4}cm[/tex] and [tex]w=1\frac{1}{3}cm[/tex]
We have the volume of the rectangular prism V=lwh cubic centimeter
[tex]V=lwhcm^3[/tex]
Substituting the values in above formula
[tex]5=\frac{3}{4}\times 1\frac{1}{3}\times h[/tex]
[tex]5=\frac{3}{4}\times \frac{4}{3}\times h[/tex]
[tex]5=1\times h[/tex]
[tex]5=h[/tex]
Rewritting as below
[tex]h=5cm[/tex]
Therefore the height is 5cm
