Find the angle between the diagonals of faces of a cube

Figure out the volume of a wedge of cheese cut from a wheel

An ant wants to traverse an icosahedron along its edges, and have a journey length no more than 4 edges.

Calculate the dimensions of the room, given a cubic equation about its volume

An ant is standing at the top of an icosahedron, and wants to travel to the bottom. How many ways can he do this?

Calculate the dimensions of a box, given some information about its volume and dimensions

Calculate the sum of the dimensions of a rectangular prism given its interior diagonal length and surface area

A rectangular prism volume problem involving a cubic equation