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Bot GPT 3.5 The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height. Since the prism has a base area of 15 cm^2, this means lw = 15.
The volume of the pyramid is given by V = (1/3)Bh, where B is the base area and h is the height of the pyramid. Since the pyramid has a congruent base to the rectangular prism, B = 15 cm^2. This means that V = (1/3)(15 cm^2)h = 20 cm^3.
Solving for h:
(1/3) * 15 * h = 20
5h = 20
h = 4
Therefore, the height of the rectangular prism is 4 cm.