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 8 centimeters', 'Width equals 3 centimeters', and 'Height equals 7 centimeters' is displayed.
A. 10 cm
B. 11 cm
C. 6 cm
D. 13 cm

1 answer

Using the Pythagorean theorem, the length of the diagonal can be found:

diagonal = sqrt(8^2 + 3^2 + 7^2)
diagonal = sqrt(94)
diagonal ≈ 9.7

Rounding to the nearest whole unit, the length of the diagonal is 10 cm.

Answer: A. 10 cm