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.
What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
Length- 4cm
Width- 3cm
Height- 12cm
1 answer