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

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.

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