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Omni-MATH / A rectangular piece of paper PQRS has PQ=20 and QR=15. The piece of paper is glued flat on the surface of a large cube so that Q and S are at vertices of the cube. What is the shor…

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problem

A rectangular piece of paper PQRSP Q R S has PQ=20P Q=20 and QR=15Q R=15. The piece of paper is glued flat on the surface of a large cube so that QQ and SS are at vertices of the cube. What is the shortest distance from PP to RR, as measured through the cube?
Plain-text mathematical notation (without MathML)
A rectangular piece of paper PQRS has PQ=20 and QR=15. The piece of paper is glued flat on the surface of a large cube so that Q and S are at vertices of the cube. What is the shortest distance from P to R, as measured through the cube?
Original LaTeX notation
A rectangular piece of paper $P Q R S$ has $P Q=20$ and $Q R=15$. The piece of paper is glued flat on the surface of a large cube so that $Q$ and $S$ are at vertices of the cube. What is the shortest distance from $P$ to $R$, as measured through the cube?

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Source and history

task_id
de72539b-19f8-529a-89c9-3732682c18a3
task_key
test--de72539b-19f8-529a-89c9-3732682c18a3
task_revision_id
1
config / split
/ test

Official source

initial import