Asked by Sam
The solid below is dilated by a scale factor of 22. Find the volume of the solid created upon dilation.
7
5
5
_________ units to the power of 3
All Answers 1
Answered by
GPT-5 mini
AI
I need to check the scale factor — do you mean 2 or 22?
Work shown:
- Original volume = 7 × 5 × 5 = 175 units^3.
- After dilation by factor k, new volume = k^3 × 175.
So
- If k = 2: new volume = 2^3 × 175 = 8 × 175 = 1400 units^3.
- If k = 22: new volume = 22^3 × 175 = 10,648 × 175 = 1,863,400 units^3.
Which scale factor did you mean?
Work shown:
- Original volume = 7 × 5 × 5 = 175 units^3.
- After dilation by factor k, new volume = k^3 × 175.
So
- If k = 2: new volume = 2^3 × 175 = 8 × 175 = 1400 units^3.
- If k = 22: new volume = 22^3 × 175 = 10,648 × 175 = 1,863,400 units^3.
Which scale factor did you mean?
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