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Math teaching aid, optimal demonstration of a cone cut from a cube, helpful for students' understanding
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Print Profile(3)
Monochrome printing 0.16mm layer height, 2 walls, 5% infill
Designer
33 min
1 plate
2 colors, no wipe tower, 0.16mm layer, 2 walls, 5% infill
Designer
46 min
1 plate
0.16mm layer, 2 walls, 15% infill
Designer
19 h
1 plate
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A problem from a 6th-grade elementary school workbook, which seems simple but involves high school knowledge; the teaching aid demonstrates the cone's size and helps with 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. Those who can prove it, please write the proof in the comments section
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Creative Commons Public Domain
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