A regular pentagonal prism has 9-cm base edges. A larger, similar prism of the same material has 36-cm case edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism? A) volume B) weight

Question

Mathematics

Dominique

29 November, 01:27

A regular pentagonal prism has 9-cm base edges. A larger, similar prism of the same material has 36-cm case edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism? A) volume B) weight

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Answers (2)

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Zaire Ayala · Answer 1

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Burke · Answer 2

To compare the volumes of the prism we used the scale factor:

volume scale factor = (linear scale factor) ³

the linear scale factor of the prism is:

(length of larger prism) / (length of smaller prism)

=36/9

=4

thus the volume scale factor will be:

4³=64

hence the volume of the larger prism is 4 times that of the smaller prism.