Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:
[tex]V = a^2h[/tex]
In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:
[tex]a^2h = 75[/tex]
The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So
[tex]a^2(5h) = 5(a^2h) = 5*75 = 375[/tex]
The new volume is 375 cubic inches.
