The formula to find the volume of a prism is V=Bh (Volume = Base x height). Let's plug in the dimensions you were given:
V=Bh
V=(5)(10)
V=50 {tex] ft^{2} [/tex]
To find the new volume of the dilated prism, cube the dilated factor, then multiply by the volume you just found (old volume):
New Volume = ([tex] x^{3}[/tex])(Old Volume)
V = ([tex] \frac{6}{5} [/tex])³·50
V = ([tex] \frac{432}{5} [/tex]
V = 86.4
