Two cubes have lengths 8cm and 3 cm. what is the ratio of their respective volumes?

Leet asked Nov 6, 2023

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Leet asked Nov 6, 2023

by Leet

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28 votes

EXPLANATION

If two cubes have lengths= 8cm and 3 cm respectively, the ratio between them is as follows:

$\text{Volume}_{cube\text{ 8 cm}}=8\cdot8\cdot8=8^3=512\operatorname{cm}^3$
$\text{Volume}_{cube\text{ 3cm}}=3\cdot3\cdot3=3^3=27cm^3$

Then, the ratio is given by the relationship between both volumes:

$ratio_(cubes)=\frac{volume_{cube\text{ 8cm}}}{volume_{\text{cube 3cm}}}=(8\cdot8\cdot8)/(3\cdot3\cdot3)=(8^3)/(3^3)=512\colon27$

The ratio of their respective volumes is 512:27

PeteTheGreek answered Nov 13, 2023

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