Asked by Ian
The two cubes are similar in shape. Compare the volume of the two and determine the scale factor from the smaller cube to the larger cube. Enter your response as a fraction. The scale factor from the smaller cube to the larger cube is _.
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the sizes or the picture of the two cubes, so I can't give a specific numeric fraction yet. I can tell you how to get it:
- If the smaller cube has side length a and the larger has side length b, the scale factor (from smaller to larger) is b/a (write this as a fraction).
- The volumes compare by the cube of that factor: Volume(larger)/Volume(smaller) = (b/a)^3.
- If you're only given volumes V_small and V_large, the linear scale factor = cube root(V_large / V_small).
Send the side lengths or the picture/values and I will compute the fraction for you.
- If the smaller cube has side length a and the larger has side length b, the scale factor (from smaller to larger) is b/a (write this as a fraction).
- The volumes compare by the cube of that factor: Volume(larger)/Volume(smaller) = (b/a)^3.
- If you're only given volumes V_small and V_large, the linear scale factor = cube root(V_large / V_small).
Send the side lengths or the picture/values and I will compute the fraction for you.
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