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.

D.
12

Answer 1

B. Square root 108.

To find the length of the diagonal (d), we can use the Pythagorean theorem.

d^2 = (height^2 + base diagonal length^2)
d^2 = (6^2 + 12^2)
d^2 = 36 + 144
d^2 = 180
d = square root 180

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