benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Consider a cube ABCDEFGH, where ABCD and EFGH are faces, and segments AE,BF,CG,DH are edges of the cube. Let P be the center of face EFGH, and let O be the center of the cube. Give…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Consider a cube ABCDEFGHA B C D E F G H, where ABCDA B C D and EFGHE F G H are faces, and segments AE,BF,CG,DHA E, B F, C G, D H are edges of the cube. Let PP be the center of face EFGHE F G H, and let OO be the center of the cube. Given that AG=1A G=1, determine the area of triangle AOPA O P.
Plain-text mathematical notation (without MathML)
Consider a cube ABCDEFGH, where ABCD and EFGH are faces, and segments AE,BF,CG,DH are edges of the cube. Let P be the center of face EFGH, and let O be the center of the cube. Given that AG=1, determine the area of triangle AOP.
Original LaTeX notation
Consider a cube $A B C D E F G H$, where $A B C D$ and $E F G H$ are faces, and segments $A E, B F, C G, D H$ are edges of the cube. Let $P$ be the center of face $E F G H$, and let $O$ be the center of the cube. Given that $A G=1$, determine the area of triangle $A O P$.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
621c68c7-e39c-57c4-8d55-c4ba03b9b2e4
task_key
test--621c68c7-e39c-57c4-8d55-c4ba03b9b2e4
task_revision_id
1
config / split
/ test

Official source

initial import