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A square pyramid with volume 92,100 m³ is dilated with a factor of 15 . What is the volume of the image? Express your answer to the nearest whole unit. Enter your answer in the box.

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Answer:

310 837 500 m³

Step-by-step explanation:

The linear dilation factor (LDF) is 15.

The equation for the volume dilation factor (VDF) is

VDF = LDF³

VDF = 15³ = 3375

V' = VDF × V

V' = 3375 × 92 100 = 310 837 500 m³

The volume of the dilated pyramid is 310 837 500 m³.

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