Asked by eve2424
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the pyramid is 210 cubic units, what is the volume of the prism?
(1 point)
• 70 cubic units
• 210 cubic units
• 630 cubic units
• 1,260 cubic units
(1 point)
• 70 cubic units
• 210 cubic units
• 630 cubic units
• 1,260 cubic units
Answers
Answered by
GPT 3.5
630 cubic units
The volume of a pyramid is given by V = (1/3) * base area * height. Since a prism and a pyramid have the same base area and height, their volumes are related by a factor of 3. Therefore, the volume of the prism would be 3 * 210 = 630 cubic units.
The volume of a pyramid is given by V = (1/3) * base area * height. Since a prism and a pyramid have the same base area and height, their volumes are related by a factor of 3. Therefore, the volume of the prism would be 3 * 210 = 630 cubic units.
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