benchmarks.wiki / Public workspace
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Omni-MATH / A plane P slices through a cube of volume 1 with a cross-section in the shape of a regular hexagon. This cube also has an inscribed sphere, whose intersection with P is a circle. W…
Problem
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problem
A plane slices through a cube of volume 1 with a cross-section in the shape of a regular hexagon. This cube also has an inscribed sphere, whose intersection with is a circle. What is the area of the region inside the regular hexagon but outside the circle?
Plain-text mathematical notation (without MathML)
A plane P slices through a cube of volume 1 with a cross-section in the shape of a regular hexagon. This cube also has an inscribed sphere, whose intersection with P is a circle. What is the area of the region inside the regular hexagon but outside the circle?
Original LaTeX notation
A plane $P$ slices through a cube of volume 1 with a cross-section in the shape of a regular hexagon. This cube also has an inscribed sphere, whose intersection with $P$ is a circle. What is the area of the region inside the regular hexagon but outside the circle?
Discussion
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Source and history
- task_id
9691ba1e-334f-565e-98ea-059428501d51- task_key
test--9691ba1e-334f-565e-98ea-059428501d51- task_revision_id
- 1
- config / split
- / test
initial import