9. Several rectangular prisms with edge lengths of $2, 3, 5$ are combined in the same direction to form a cube with an edge length of 90. The number of small rectangular prisms that a diagonal of the cube passes through is ( ).
(A) 64
(B) 66
(C) 68
(D) 70
9. B.

Since the least common multiple of $2,3,5$ is 30, and the number of small rectangular prisms with edge lengths of $2,3,5$ that a diagonal of a cube with edge length 30 passes through is $\left[\frac{30}{2}\right]+\left[\frac{30}{3}\right]+\left[\frac{30}{5}\right]-\left[\frac{30}{2 \times 3}\right]-\left[\frac{30}{2 \times 5}\right]-\left[\frac{30}{3 \times 5}\right]+\left[\frac{30}{2 \times 3 \times 5}\right]=22$, therefore, the number of small rectangular prisms that a diagonal of a cube with edge length 90 passes through should be $3 \times 22=66$.