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- Surface Area and Volume: Cubes and Prisms [05/27/1998]
What is the definition of surface area and volume? What are the
differences and similarities between surface area and volume?
- Surface Area of a Rectangular Solid [09/21/1999]
Can you find the surface area of a cube or other 3D rectangular object by
calculating the area of the sides you can see and multiplying by 2?
- Surface Area of Blocks Glued Together [09/09/2001]
Three cubes whose edges are 2, 6, and 8 centimeters long are glued
together at their faces. Compute the minimum surface area possible for
the resulting figure.
- Surface Area of Pyramids [05/21/1999]
We understand how to find the surface area, but we cannot figure out how
to determine the slant.
- Surface Area Of Three Cubes Glued Together [10/22/2002]
You have 3 cubes, one with an edge measuring 2, one 6, and one 8.
If you glue them together so you have the smallest possible surface
area, what will that surface area be?
- Symmetry in Platonic Solids [01/24/1997]
How many planes of symmetry does each of the platonic solids have?
- Tetrahedron Projected on a Plane [10/29/1996]
How do you project a regular tetrahedron perpendicularly onto a plane to
get the maximum area shadow?
- Triangle Proportions: A Diagram [05/06/2003]
A cone has a circular base radius 1, and vertex of height 3 directly
above the center of the circle. A cube has four vertices in the base
and four on the sloping sides. What is the length of a side of the
- Truncating Platonic Solids [08/04/1998]
What effect does truncation have on Platonic solids? What are some
historical and current applications?
- Types of Pyramids [06/08/1999]
What are the types of pyramids and what do they look like?
- Understanding Fourth Dimension Figures [07/05/1998]
Can you help me figure out the equations for fourth dimension figures
such as the tesseract and the hypertetrahedron?
- Volume of a Frustum of a Pyramid [06/03/2002]
How can I derive the formula for the volume of a frustum of a pyramid?
- Volume of a Pyramid [05/29/2002]
Why does the formula for the volume of pyramid have a 1/3 in it?
- Volume of a Regular Octahedron [09/12/2004]
How do you find the volume of a regular octahedron if you don't know
- Volume of a Rhombicuboctahedron [01/19/2001]
What is the formula for finding the volume of a polyhedron called a
- Volume of a Soccer Ball [05/31/2003]
What is the simplest way to find the volume of a truncated
icosahedron (aka soccer ball or buckyball)?
- Volume of a Square Pyramid by Construction, not Rote [05/04/2016]
An adult mentor seeks to determine a volume without applying the usual
formula. By extending an insight that only partly applied, Doctor
Greenie stretches her visualization model.
- Volume of a Tetrahedron [01/23/2002]
The volume of a tetrahedron is one-third the distance from a vertex to
the opposite face, times the area of that face. Find a formula for the
volume of a tetrahedron in terms of the coordinates of its vertices P, Q,
R, and S.
- Volume of a Tetrahedron [02/27/2003]
Find the volume of a tetrahedron.
- What Does "Stellated" Mean? [03/31/1998]
Stellating polyhedra, including solids that are already stellated.
- What is a Cuboctahedron? [01/02/2001]
What is a cuboctahedron?
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