Cube Diagonals

Let X and Y be opposite vertices of a side of a cube. Let X and Z be opposite vertices of another side of the same cube.

Find the measure of angle YXZ.

Presentation mode

Problem by Mr. Twitchell

Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.

Assign this problem

Click here to assign this problem to your students.

Similar Problems

Warehouse Boxes

A warehouse is completely filled completely with boxes 2 feet by 2 feet by 2 feet in size. There are 1,200,000 boxes. If all these boxes were removed and replaced by boxes 1 foot by 1 foot by 1 foot in size, what is the largest number of these boxes the warehouse could hold?

Ant on an Icosahedron 2

An icosahedron is situated as shown below, with a single vertex at the top, and a single vertex at the bottom. An ant is standing at the top of the icosahedron, on the vertex, and he wishes to travel to the bottom vertex, while only walking along edges, and he wants his journey's length to be no more than 4 edge lengths. In how many different ways can he make this journey?

Ant on an Icosahedron

An icosahedron is situated as shown below, with a single vertex at the top, and a single vertex at the bottom. An ant is standing at the top of the icosahedron, on the vertex, and he wishes to travel (always in a downward direction) to the bottom vertex, while only walking along edges. In how many different ways can he make this journey?

Blogs on This Site

Book Scrounger

Reviews and book lists - books we love!

Ask Professor Puzzler

The site administrator fields questions from visitors.

Like us on Facebook to get updates about new resources