# Cube + derivation - practice problems

#### Number of problems found: 4

- Derivative problem

The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal. - Rectangle pool

Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Alien ship

The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Ladder

4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?

We apologize, but in this category are not a lot of examples.

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Cube practice problems. Derivation - practice problems.