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3 years ago

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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