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Calculus Exercises: Building Solids with Various Cross Sections

Note the dimensions of the Toblerone shown below.

Note the dimensions of the Toblerone shown below.
Bases are equilateral triangles Triangle Side = 3.5 cm Prism height = 21 cm

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.

Check all that apply