Hexagonal pyramid |
Just about everyone we asked this question at the office looked at us all funny. Most immediately said, "You meant 'volume of a pyramid,' right? Because triangles are two-dimensional objects and don't have volumes." Well, Vossos never says that; hence the "failure to educate" someone who asks a stupid question.
Tasos next explains that to calculate the volume of a pyramid, his readers must,
- Measure the width and length of the base...
- Multiply the width by the length, to calculate the base area[, B]...
- Measure the pyramid's height (h)...
- Apply the formula V=Bh/3...
By doing so, Vossos checks off box number two, confusing the specific with the general. What do we mean by that? Tasos makes the (ridiculous) assumption that the pyramid in question is four-sided, like the pyramids at Giza or the Transamerica Tower. Unfortunately, not all pyramids are four-sided! Pyramids can have any number of sides: a tetrahedron is a pyramid with three sides, a cone is essentially a pyramid with an infinite number of sides. The formula Tasos cites –
V = (B * h) / 3
– is correct (even for the cone), but his method of calculating B only works for rectangular pyramids. And while he's at it, Tasos really should have given a better definition of h than
"...the line that forms a right angle with the base, while connecting top and bottom..."
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MM - GEOMETRY
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