A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?
A. 9
B. 64/3
C. 27
D. 72
E. 216
The OA is D
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A cube and a pyramid of square base share the same
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BTGmoderatorLU
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Source: EMPOWERgmat
A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?
A. 9
B. 64/3
C. 27
D. 72
E. 216
The OA is D
A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?
A. 9
B. 64/3
C. 27
D. 72
E. 216
The OA is D
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Jay@ManhattanReview
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Say the side of the cube = a, thus, the volume of the cube = a^3 and the surface area of the cube = 6a^2BTGmoderatorLU wrote:Source: EMPOWERgmat
A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?
A. 9
B. 64/3
C. 27
D. 72
E. 216
The OA is D
=> a^3 = 6a^2 => a = 6
Note that the volume of a pyramid = Volume of cube/3
Volume of a pyramid = Volume of cube/3 = a^3/3 = 6^3/3 = 72
The correct answer: D
Hope this helps!
-Jay
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