Answer:
800
Step-by-step explanation:
Let's calculate how many times the edge of the cube fits on the edge of the prism:
[tex]1\dfrac{3}{5}:\dfrac{1}{5}=\dfrac{(1)(5)+3}{5\!\!\!\!\diagup}\cdot\dfrac{5\!\!\!\!\diagup}{1}=5+3=8\\\\\dfrac{4}{5}:\dfrac{1}{5}=\dfrac{4}{5\!\!\!\!\diagup}\cdot\dfrac{5\!\!\!\!\diagup}{1}=4\\\\5:\dfrac{1}{5}=5\cdot\dfrac{5}{1}=5\cdot5=25[/tex]
Therefore we have new unit and new dimensions of the prism:
[tex]25\times4\times8[/tex]
Calculate the volume of a prism using the formula:
[tex]V=l\times w\times h[/tex]
Substitute:
[tex]l=25,\ w=4,\ h=8[/tex]
[tex]V=(25)(4)(8)=800[/tex]
