Calculus Exercises: Building Solids with Various Cross Sections
- Tim Brzezinski
Note the dimensions of the Toblerone shown below.
The Toblerone candy bar shown is an example prism. By definition, what exactly makes a 3D solid a prism? Describe.
The solid below has equilateral triangle cross sections parallel to the yAxis. Given the dimensions of the Toblerone shown above, construct an accurate model of it below.
Create a solid whose base is a circle with radius 8 and has equilateral triangle sections parallel to the yAxis. (Cross sections shown here are equilateral triangles.)
This solid has 45-45-90 triangle cross sections parallel to the yAxis (leg lies in base). Create a solid with a base that is similar to these cross sections so that its (base) area = 50.
Which of the following solids has a volume that can be expressed as a single definite integral and not the sum of one or more definite integrals? Check all that apply.