Building Surfaces with Cross Sections and Function Modeling

Note the dimensions of the Toblerone shown below.

[size=100]Bases are equilateral triangles[br]Triangle Side = 3.5 cm[br]Prism height = 21 cm[/size]

The Toblerone candy bar shown is an example prism. By definition, what exactly makes a 3D solid a [i]prism[/i]? 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 [b]single[/b] definite integral and not the sum of one or more definite integrals? Check all that apply.

One whose base is an equilateral triangle and has equilateral triangle cross sections parallel to the yAxis One whose base is a regular hexagon that has regular hexagonal cross sections parallel to the yAxis One whose base is a square that has square cross sections parallel to the yAxis (one side lies parallel to yAxis) One whose base is a circle that has semicircular cross sections parallel to the yAxis (diameter parallel to yAxis)

Building Surfaces with Cross Sections and Function Modeling

Note the dimensions of the Toblerone shown below.

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.

Information: Building Surfaces with Cross Sections and Function Modeling