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MrMuchimi
3 years ago
8

20. The surface areas of two similar solids are 216 m² and 1014 m². The volume of the larger one is 2197 m³. What is the volume

of the smaller one?
Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

  216 m³

Step-by-step explanation:

The ratio of linear dimensions is the square root of the ratio of area dimensions.

  s = √(216/1014) = √(36/169) = 6/13

Then the ratio of volume dimensions is the cube of that. The smaller volume is ...

  v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³

The volume of the smaller solid is 216 m³.

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