A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
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1111111111111121 1111111111111121 · Answer 1 · 2021-08-04T02:53:13+02:00

Answer:

D

Step-by-step explanation:

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ayoushivt ayoushivt · Answer 2 · 2022-07-18T07:31:12+02:00

The horizontal cross-sections of the prisms which is at same height as the cone should have same area.

Therefore Option D is the answer.

A cone is a three dimensional figure that has a circular horizontal structure , and vertically tapering up till a point.

It is given that

A Pyramid and a cone both have same volume.

Height of cone is same as Height of Pyramid .

Volume of cone = (1/3)πr²h

Volume of a pyramid = Area of base * h

When both the volume are equated

as height is same

The Area of the base of the cone = Area of the base of the Pyramid

The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.

Therefore Option D is the answer.

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