# Secret treasure

Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.

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#### Following knowledge from mathematics are needed to solve this word math problem:

- Pythagorean theorem
- planimetrics
- quadratic equation
- algebra
- square root
- arithmetic
- right triangle
- solid geometry
- cylinder
- equation
- pyramid
- volume
- units
- square (second power, quadratic)
- body volume
- triangle
- basic functions
- maximum
- minimum
- derivation
- similarity of triangles
- geometry
- expression of a variable from the formula
- high school

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