I guess that someone with good skill at maths can solve them in a few seconds.

**PROBLEM 1 :**We know that the area of a (regular) hexagon is : [(3*(sqrt 3))/2]*radius²

We have an hexagonal "M10" brass nut. Dimensions are :

Diameter (maximal diameter) : 18.9 milimeters

Hole diameter : 10 mm

Height : 8 mm

1) Get the

**exact**(no numbers with endless period) volume of the nut, and give an approximation in cubic milimeters (more or less 1 cubic milimeter) of that volume.

2) We know that the molar mass of brass is 8,400 kg (8.4T) /cubic meter. Give the mass of the nut (in grams), more or less 1 gram.

**PROBLEM 2 (very easy) :***This one is a part of a physics problem, so the result is essential for later calculations...*

We have a flat roof, which dimensions are 8*24.5 meters.

We want to put as much solar panels as possible on it.

The dimensions of a solar panel are 1424 * 655 milimeters.

*Obviously you can't cut a solar panel. You can imagine this problem takes place on the Moon if you're addicted to Orbiter.*

So, if someone can help me to check my answers, you're welcome. That would probably help me to guess if I'll pass the exam woohoo or not facepalm.

:hail: