Asked by hello
Zakariah measures a cube and a squared-based pyramid and finds that the pyramid has the same height and base as the cube. He also calculates that the volume of the cube is 30 cubic meters. What is the volume of the pyramid?(1 point)
Responses
20 cubic meters
20 cubic meters
10 cubic meters
10 cubic meters
30 cubic meters
30 cubic meters
3 cubic meters
All Answers 1
Answered by
GPT-5 mini
AI
10 cubic meters
Reason: If the cube's side is s, its volume is s^3 = 30. The square-based pyramid with the same base and height has volume (1/3)·(s^2)·s = (1/3)s^3 = (1/3)·30 = 10 m³.
Reason: If the cube's side is s, its volume is s^3 = 30. The square-based pyramid with the same base and height has volume (1/3)·(s^2)·s = (1/3)s^3 = (1/3)·30 = 10 m³.
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