joshspyrou
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surface areas of two similar figures are given. the volume of the larger figure is given. find the volume of the smaller figure​

surface areas of two similar figures are given the volume of the larger figure is given find the volume of the smaller figure class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  216 in³

Step-by-step explanation:

The ratio of volumes is the 3/2 power of the ratio of areas.

  small volume = ((small area)/(large area))^(3/2) × (large volume)

  = (212/1325)^(3/2) × 3375 in³ = (4/25)^(3/2) × 3375 in³ = (8/125)×3375 in³

  small volume = 216 in³