Hard Geometry Problem for the SAT Today I would like to provide an example of a hard geometry problem that could show up on the SAT. Level 4 – Geometry The head of a copper “hexagon head screw bolt” (one cross section of which is shown above) has the shape of a cylinder with a hole shaped like a regular hexagon. The cylindrical head is 2 cm thick with a base diameter of 3 cm. The hexagonal hole is only half the thickness of the entire head, and each side of a hexagonal cross section has a length of 1 cm. Given that the density of copper is 8.96 grams per cubic cm, and density is mass divided by volume, find the mass of the head to the nearest gram. Please feel free to post your solutions or attempted solutions in the comments below and we can discuss the best way to solve the problem. I will post solutions to this problem next week. More Hard SAT Math Practice Problems If you are preparing for the SAT you may want to check out the Get 800 collection of SAT math books. If you think your friends would like to try this problem, please share: Speak to you soon! Comments comments