What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
Length- 4
Width- 3
Height- 12
To find the length of the diagonal of a rectangular prism, we can use the Pythagorean theorem.
Let the length, width, and height of the rectangular prism be given by L, W, and H, respectively.
The diagonal can be represented by the hypotenuse of a right-angled triangle with the length and width as the other two sides.
Using the Pythagorean theorem, we have:
diagonal² = length² + width²
diagonal² = 4² + 3²
diagonal² = 16 + 9
diagonal² = 25
Taking the square root of both sides, we find:
diagonal ≈ √25
diagonal ≈ 5
Therefore, the length of the diagonal to the nearest whole unit is 5 units.