Respuesta :

mhanifa

Answer:

  • 1216 yd³

Step-by-step explanation:

Given

  • Solid 1                                   |     Solid 2
  • Surface area = 1100 yd²       |     Surface area = 176 yd²
  • Volume = 19000 yd³            |     Volume = x
  • Solids are similar

Let the scale factor be k, then

  • Surface area is a product of 2 dimensions so the ratio of surface area of the solids would be k²
  • Volume is the product of 3 dimensions so the ratio of volumes would be k³

Considering this we have:

  • 1100 = 176*k²
  • 19000 = x*k³

The value of x is

  • x = 19000/k³

Finding the scale factor

  • k= √1100/176 = 2.5

So the answer is

  • x = 19000/2.5³ = 1216 yd³

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