RobyC271140 RobyC271140
  • 28-10-2022
  • Mathematics
contestada

A prism with a volume of 250 ft^3 is dilated by a factor of 3.The volume of the dilated prism is ____ ft^3.

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CillianS451528 CillianS451528
  • 28-10-2022

In a volume the dilation makes the efect of increasing the volume by a factor of:

[tex]k^3[/tex]

where k is the scale factor of the diltation.

In this case this means that the new volume will be:

[tex]V^{\prime}=(3)^3(250)=27\cdot250=6750[/tex]

Therefore the volume of the dilated prism is 6750 cubic feet.

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