Question 993900
The volume, {{{V}}} , of a prism can be calculated as the area, {{{A}}} , of a base times the height, {{{h}}} :
{{{V=A*h}}} .
The area of a cross section taken parallel to the base at any level is the same as the area of each base.
The statements above are true for right and oblique prisms,
regardless of the shape of the base (rectangular, triangular, or other).
The two solids in your problem have the same {{{A}}} and {{{h}}} measurements,
so the have the same volume.
For the right rectangular prism in your problem,
{{{system(A=25in^2,h=15in)}}}--->{{{V=(25in^2)*(15in)=375in^3}}} .
For the right triangular prism in your problem,
{{{system(A=25in^2,h=15in)}}}--->{{{V=(25in^2)*(15in)=375in^3}}} .