Question
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.
A.
Square root 18.
B.
Square root 108.
C.
Square root 180.
D.
12
A.
Square root 18.
B.
Square root 108.
C.
Square root 180.
D.
12
Answers
GPT 3.5
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.
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.