Using Pythagorean theorem a2 + b2 = c2 15002 + 20002 = C2; c is 2,500 feet
The dimensions given appear to describe a rectangular box, with 3 separate pairs of rectangles: 4X8 -> Diagonal is 8.944 ft 4X12 -> Diagonal is 12.649 ft 8X12 -> Diagonal is 14.422 ft
A diagonal in 2-dimensions, an edge or diagonal in 3-dimensions
If the prism is a rectangular parallelepiped (that is, all the angles are right angles), just add the squares of the 3 dimensions (length, width, and height) together, and take the square root. This involves 2 applications of the Pythagorean Theorem.
The diagonal is 100'
The diagonal is 47.707'
It is an extension of Pythagoras's theorem to 3-dimensions. Diagonal2 = Length2 + Width2 + Height2
rectangle
It is formed by the diagonal of a rectangle
The diagonal is 221.2 inches long.
diagonal
diagonal
26.4 inches for the diagonal.