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MMLU-Pro / 8529 / Find the volume of the described solid S. A tetrahedron with three mutually…

Problem

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

question

Find the volume of the described solid S. A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths $3 \mathrm{~cm}$, $4 \mathrm{~cm}$, and $5 \mathrm{~cm}$
Plain-text mathematical notation (without MathML)
Find the volume of the described solid S. A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths $3 \mathrm{~cm}$, $4 \mathrm{~cm}$, and $5 \mathrm{~cm}$
Original LaTeX notation
Find the volume of the described solid S. A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths $3 \mathrm{~cm}$, $4 \mathrm{~cm}$, and $5 \mathrm{~cm}$

category

math

options

  1. 8 $\mathrm{cm}^3$
  2. 24 $\mathrm{cm}^3$
  3. 14 $\mathrm{cm}^3$
  4. 10 $\mathrm{cm}^3$
  5. 6 $\mathrm{cm}^3$
  6. 18 $\mathrm{cm}^3$
  7. 20 $\mathrm{cm}^3$
  8. 30 $\mathrm{cm}^3$
  9. 15 $\mathrm{cm}^3$
  10. 12 $\mathrm{cm}^3$

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
8529
task_id
bce9680c-9d93-5cb0-a578-ec922feb79bc
task_key
default--test--8529
task_revision_id
1
config / split
default / test

Official source

initial import