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
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