Answers:
Scale factor is 8:5
Area ratio is 64:25
Volume ratio is 512:125
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Step-by-step explanation:
Divide the second surface area (375) over the first surface area (960) to get
375/960 = 0.390625
Then take the square root of this to get
sqrt(0.390625) = 0.625
The decimal value 0.625 converts to the fraction 5/8, which turns into the scale factor 8:5
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Once you know the scale factor, you can square both sides to get the area ratio
8:5
8^2:5^2
64:25
The area ratio is 64:25
Then go back to the scale factor, and cube each part to get the volume ratio
8:5
8^3:5^3
512:125
The volume ratio is 512:125