Ask Question
16 December, 21:58

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?

+5
Answers (1)
  1. 17 December, 01:47
    0
    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.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “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 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers