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Alina [70]
3 years ago
12

Two similar pyramids have corresponding dimensions in the ratio 3:5 Find the ratio of their volumes

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:27:125

Step-by-step explanation:

Given

Ratio of corresponding dimensions is in the ratio of 3:5

If the two pyramids are similar then the ratio of their volumes is proportional to the cube of their side ratio

i.e.

\Rightarrow \dfrac{V_1}{V_2}=(\dfrac{l_1}{l_2})^3

\Rightarrow \dfrac{V_1}{V_2}=(\dfrac{3}{5})^3

\Rightarrow \dfrac{V_1}{V_2}=\dfrac{27}{125}

Thus the ratio of their volumes is 27:125

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