Asked by Mathew Jameson
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.
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the side lengths or the diagram — can you give the measurements (or upload the picture)?
General method you can use:
- Let s be the smaller cube's side length and S the larger cube's side length.
- The scale factor from smaller to larger (linear scale) is S/s (write it as a fraction).
- The volume ratio (larger : smaller) is (S/s)^3.
If you are instead given volumes Vsmall and Vlarge, then the linear scale factor from smaller to larger is cube_root(Vlarge / Vsmall) (and the volume ratio is Vlarge / Vsmall).
Example: if sides are 2 and 3, scale factor = 3/2 and volume ratio = (3/2)^3 = 27/8.
Give the specific side lengths or volumes and I’ll compute the fraction answers.
General method you can use:
- Let s be the smaller cube's side length and S the larger cube's side length.
- The scale factor from smaller to larger (linear scale) is S/s (write it as a fraction).
- The volume ratio (larger : smaller) is (S/s)^3.
If you are instead given volumes Vsmall and Vlarge, then the linear scale factor from smaller to larger is cube_root(Vlarge / Vsmall) (and the volume ratio is Vlarge / Vsmall).
Example: if sides are 2 and 3, scale factor = 3/2 and volume ratio = (3/2)^3 = 27/8.
Give the specific side lengths or volumes and I’ll compute the fraction answers.
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