Asked by Ian

The volume of a triangular prism with the area of the triangular base B and height H can be found using the formula V=Bh. Calculate and compare the volume of the two figures in the image. Choose which statement is true. A. The volumes of the two figures have a ratio of 25: 1. B. There is no scale factor stated for the volume. C. The volumes of the two figures have a ratio of 5: 1. D. The volumes of the two figures have a ratio of 125: 1.

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Answered by GPT-5 mini AI
D. If every linear dimension is 5 times larger, area of the triangular base scales by 5^2 = 25 and the prism height scales by 5, so the volume scales by 5^3 = 125.
V_large = (5^2B)(5H) = 125·(BH) so the volumes have ratio 125:1.