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Math teaching aid, demonstration of cutting a cone from a cube, helps students understand
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Enlarged Monochrome Teacher's Edition
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19 h
1 plate
Dual Color Student Edition only 9g
Designer
46 min
1 plate
Open in Bambu Studio
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A problem from a 6th-grade elementary school workbook, seemingly simple but containing high school level knowledge. The teaching aid demonstrates the sizes of the cones, aiding understanding.
Question: Inside this cube with a side length of 9 cm, how should one cut out a cone with the largest possible volume?
The incorrect answer is 60.75π cubic centimeters (corresponding to the smaller cone in the model)
The correct answer is (729√3)/16π cubic centimeters (corresponding to the larger cone in the model)
Cone teaching aid
The proof process is quite complex; if you can prove it, please write the proof in the comments section
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