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kobusy [5.1K]
2 years ago
10

PLS HELP ME I WILL MARK THE BRAINLIEST

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0

Given that the solids are similar, we have:

1. 5/3

2. 4/25

3. 512/13,824

<h3>What is the Volume and Surface Area of Similar Solids?</h3>

If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:

Surface area for A/Surface area for B = a²/b².

Volume for A/Volume for B = a³/b³.

1. If the two pyramids are similar, therefore:

Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)

Ratio of the height of larger to the smaller pyramid = 5/3

2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)

=  ∛(8/125) = 2/5

Ratio of their surface area = 2²/5²

Ratio of their surface area = 4/25.

3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³

= 512/13,824

Learn more about similar solids on:

brainly.com/question/16599646

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