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Mathematics-Online problems: | ||

## Solution to the problem of the (previous) week |

** Problem:**

- For which edge length does the volume become a maximum?

- Also determine as well as the surface area (base included) and the height of the optimal pyramid.

**Answer:**

cm | ||

cm | ||

cm | ||

cm |

(The results should be correct to four decimal places.)

** Solution:**

Substituting this expression into the formula of the pyramid's volume, we obtain

To simplify matters we maximize

From

Moreover,

[problem of the week]