Find the length (d), in centimeters, of the diagonal of a rectangular prism with a height of 6 cm, whose base diagonal length is 12 cm.

Question

A.
Square root 18.

B.
Square root 108.

C.
Square root 180.

Answer 1

B. Square root 108.

To find the length of the diagonal (d) of the rectangular prism, we can use the Pythagorean Theorem.

d^2 = (base diagonal)^2 + height^2
d^2 = 12^2 + 6^2
d^2 = 144 + 36
d^2 = 180
d = sqrt(108)

Therefore, the length of the diagonal of the rectangular prism is square root 108 cm.