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What is the ratio for the volumes of two similar Pyramids, given that the ratio of the edge lengths is 8:3?

What is the ratio for the volumes of two similar Pyramids given that the ratio of the edge lengths is 83 class=

Respuesta :

Answer:

D

Step-by-step explanation:

Given that the ratio of side lengths = 8 : 3, then

ratio of volumes = 8³ : 3³ = 512 : 27 → D

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ANSWER

The correct answer is option D.

EXPLANATION

The given pyramids are similar and the side lengths are in the ratio 8:3

Volume is in cubic units, therefore the volume of the two similar pyramids are in the ratio;

[tex] {8}^{3} : {3}^{3} [/tex]

This simplifies to

[tex]512 : 27[/tex]

The correct answer is option D.