Answer: The volume of a rectangular pyramid is given by the formula:
V = (1/3) * B * h
where B is the area of the base and h is the height.
If the volume of the rectangular pyramid is 125 cm^3, then we can write:
125 = (1/3) * B * h
Multiplying both sides by 3 gives:
375 = B * h
Now, let's consider a rectangular prism with the same height as the pyramid and a congruent base. Since the base of the pyramid and the base of the prism are congruent, they have the same area, which we can call B. The volume of the prism is then given by:
V = B * h
Substituting the expression we found for B * h above, we get:
V = 375
Therefore, the volume of the rectangular prism with the same height and congruent base as the rectangular pyramid is 375 cubic centimeters (cm^3).
Explanation: