Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
An exam paper from the Mathematics Department at Johns Hopkins University. The exam consists of 10 questions related to regular tetrahedron and cube geometry. The exam requires students to show their work and provide final answers in the box provided. The questions require students to calculate areas, lengths, and volumes of various shapes and to perform transformations on a cube.
Typology: Exams
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Special Geometry Exam, Fall 2008, W. Stephen Wilson. Mathematics Department, Johns Hopkins University
I agree to complete this exam without unauthorized assistance from any person, materials or device.
Name print and sign: Date:
NO CALCULATORS, NO PAPERS, SHOW WORK. Put your final answer in the box provided.
Consider the regular tetrahedron and the cube, both with edges of length one unit.
1
There are three (3) distinct planes that divide the solid regular tetrahedron into two identical pieces and intersect the tetrahedron in a square. Remember, the edges of the tetrahedron are of one unit length.
the other side there is one (1) vertex. How far is the plane from the single vertex?
