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02.08.2019 •
Mathematics
Juan and carl are examining 2 figures, a triangular prism and a rectangular prism. the cross sections of the two shapes have the same area. juan claims that these two shapes will also have the same volume. carl disagrees, stating that more information is needed in order to determine the volume. who is correct and why? (5 points)
a) juan is correct because of cavalieri's principle.
b) carl is correct because cavalieri's principle only covers figures with the same height and the height was not given.
c) juan is correct because figures with the same cross sectional area will always have the same volume.
d) carl is correct because you must calculate the volume of each figure before you can compare them.
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Ответ:
B)
Step-by-step explanation:
The correct answer is:
B) Carl is correct because Cavalieri's Principle only covers figures with the same height and the height was not given.
Cavalieri's Principle requires the two figures to have the same height. There is no mention of height here at all, so no conclusion can be drawn about the volumes of these two solids.
Ответ: