find the length of the diagonal of a rectangular prism with dimensions, in centimeters, of 15 by 18 by 24
To find the length of the diagonal of a rectangular prism, you can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Given that the dimensions of the rectangular prism are 15 cm, 18 cm, and 24 cm, we can assume that the 15 cm and 18 cm sides form the base of the prism, while the 24 cm side is the height.
Using the Pythagorean theorem, we can find the length of the diagonal as follows:
Length of the diagonal = √(15^2 + 18^2 + 24^2)
= √(225 + 324 + 576)
= √(1125 + 324 + 576)
= √2025
= 45 cm.
Therefore, the length of the diagonal of the rectangular prism is 45 cm.