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 whose legs are the length, width, and height of the prism.
Using the Pythagorean theorem, we have:
diagonal^2 = length^2 + width^2 + height^2
diagonal^2 = 6^2 + 5^2 + 9^2
diagonal^2 = 36 + 25 + 81
diagonal^2 = 142
diagonal ≈ 11.9
Rounding to the nearest whole unit, the length of the diagonal is 12 cm.
Therefore, the answer is D. 12 cm.
What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
A rectangular prism is shown. A bold yellow line extends from the upper rear vertex to the lower front right vertex. To the right of the prism the text 'Length equals 6 centimeters', 'Width equals 5 centimeters', and 'Height equals 9 centimeters' is displayed.
A. 8 cm
B. 10 cm
C. 11 cm
D. 12 cm
1 answer