Question

A pyramid and a cone are both 8 centimeters tall and have the same volume.​

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.
SUBMIT

Answer 1

A pyramid and a cone with the same volume and height will have the same horizontal cross-sectional area. The answer is option D.

Step-by-step explanation:

A pyramid and a cone with the same volume and height will not have the same cross-sectional areas.

A. The area of the cross-sections of the pyramids and cones are not multiples of each other.

B. The cross-sections of the pyramids and cones are not the same shape. The pyramid has a polygonal base, while the cone has a circular base.

C. The vertical cross-sections of the pyramids and cones at the same width may have different areas.

D. The horizontal cross-sections of the pyramids and cones at the same height must have the same area.