Question

A pyramid and a cone are both 12 centimeters tall and have the same

volume. What statement must be true about the two solids?
A4
OA. The vertical cross-sections of the prisms at the same width must
have the same area.
B. The horizontal cross-sections of the prisms at the same height
must have the same area.
OC. The cross-sections of the prisms are the same shape.
D. The area of the cross-sections of the prisms are multiples of each
other.

Answer 1

The statement that must be true about the pyramid and cone is that the vertical cross-sections of the prisms at the same width must have the same area.

Step-by-step explanation:

A. The vertical cross-sections of the prisms at the same width must have the same area.

When comparing the pyramid and the cone, both objects have the same volume, which means the amount of space they occupy is equal. The volume of a pyramid and a cone can be calculated using the formula V = (1/3) * base area * height. Since the height is the same for both the pyramid and the cone, and the volumes are equal, it implies that their base areas must also be equal. Therefore, the vertical cross-sections of the prisms at the same width must have the same area.

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