What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
Length- 4cm
Width- 3cm
Height- 12cm
To find the length of the diagonal of the rectangular prism, we can use the Pythagorean theorem.
The diagonal is the hypotenuse of a right triangle that has the length and width as its legs. Therefore, we have:
Length of diagonal = √(Length^2 + Width^2 + Height^2)
Length of diagonal = √(4^2 + 3^2 + 12^2)
Length of diagonal = √(16 + 9 + 144)
Length of diagonal = √(169)
Length of diagonal ≈ 13
Therefore, the length of the diagonal for the given rectangular prism is approximately 13 cm.