web tool to calculate dimensions

[colore]

hello

I need a website that has tools to make calculations and specificaly to calculate the dimensions of a pyramid (given the dimensions of the base and the height of the pyramid)

do you know any such?

thanks

[colore]

anybody?

[spacesurfer]

What exactly do you mean by the "dimensions" of a pyramid?

Do you want the surface area of the pyramid? The volume? The height of one of the sides of a pyramid?

What kind of pyramid is it? 3 sided, 4 sided, 5 sides?

You're asking a math question with so many variables unaccounted for!

[colore]

What exactly do you mean by the "dimensions" of a pyramid?

Do you want the surface area of the pyramid? The volume? The height of one of the sides of a pyramid?

What kind of pyramid is it? 3 sided, 4 sided, 5 sides?

You're asking a math question with so many variables unaccounted for!

well, volume and surface are not dimensions

I need to calculate the sides and height, which are dimensions

the pyramid has a rectangular base, so it's 4 sides and one base

[spacesurfer]

Okay, well, I don't know of any site that does this, but you can easily create an excel sheet (or any freeware spreadsheet program) that calculates this:

Assume L and W are the length and width of the base rectangle and h is the height of the pyramid. Also, I'm assuming the pyramid is a right pyramid, meaning that the peak of the pyramid is exactly over the center of the base rectangle.

The, the height of the triangular side on the rectangle's width, Hw, is given by: Hw = sqrt[(L/2)^2 + h^2] where sqrt is square root.

Having determined Hw, we can now find the length of the side, S, of this triangular side to be S = sqrt[Hw^2 + (W/2)^2] = sqrt[(L/2)^2 + (W/2)^2 + h^2)]

Now, on the rectangle's length side, the height of the triangle, HL, is HL = sqrt[h^2 + (W/2)^2].

Note that the sides of the triangle have equal length.

Thus, it's easy to make a spreadsheet with these formulas.

Good luck.

Edited August 14, 2008 by spacesurfer