Let's say I have a rectangular prism with known dimensions... how do I find the length of a diagonal that goes from one vertex to another vertex directly across (if you don't know what I mean, I can try to clarify better).
2007-10-01 18:33:48 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You can easily derive this.
Let's say you had dimensions w x l x h.
First figure the diagonal of the side with dimensions w and l. This would just be the pythagorean theorem.
d² = w² + l²
d = sqrt(w² + l²)
Now imagine that is one side of a right triangle with the height as the other side of the triangle. Again the hypotenuse would be calculated using the pythagorean theorem.
D² = d² + h²
D = sqrt(d² + h²)
D = sqrt(w² + l² + h²)
Done!
If you need a diagram to help visualize it, I added one below.
2007-10-01 18:43:53 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
Right Rectangular Prism Formula
2016-10-30 22:45:01 · answer #2 · answered by Anonymous · 0⤊ 0⤋
A prism has length, breadth and a height.
Diagonal of prism= square root of (length^2+ breadth^2+ height^2), which is true to all four diagonals of it!
Regards.
2007-10-02 02:23:24 · answer #3 · answered by kkr 3 · 1⤊ 0⤋
you can visualize it as a right triangle (cutting the rectangle in half with the diagonal), so the hypotenuse is the diagonal.
then do the pythagorean theorem which is c^2=a^2+b^2
so substitute the length and width of the rectange in a and be and solve..^_^
2007-10-01 18:53:56 · answer #4 · answered by jebm3892 2 · 0⤊ 0⤋
Try looking through your old notes, you'll probably find it if you took decent notes
2016-05-18 22:58:02 · answer #5 · answered by odilia 3 · 0⤊ 0⤋