The prisms below has congruent heights. What else must be true for their volumes to be the same? Heragonal prism Octagonal prism Their cross-sections parallel to the base are congruent. O They are both prisms. O Nothing else, only their heights need to be congruent. O Their sides are rectangles.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The prisms below has congruent heights. What else must be true for their volumes to
be the same?
Hexagonal prism
Octagonal prism
Their cross-sections parallel to the base are congruent.
They are both prisms.
O Nothing else, only their heights need to be congruent.
O Their sides are rectangles.
Transcribed Image Text:The prisms below has congruent heights. What else must be true for their volumes to be the same? Hexagonal prism Octagonal prism Their cross-sections parallel to the base are congruent. They are both prisms. O Nothing else, only their heights need to be congruent. O Their sides are rectangles.
Expert Solution
Step 1

The formula for the volume of a prism is V=Bh ,

where

B is the base area 

h is the height. 

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