Draw a rectangular box with the origin and (2, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box.

(0,0,0), (2, 0, 0), (0, 4, 0), (0, 0, 5), (2, 4, 0), (0, 4, 5), (2, 0, 5), (2, 4, 5)

Step-by-step explanation:

This rectangular box would have 8 vertices where:

- The 1st point is at origin (0,0,0)

- The 8th point is at (2,4,5)

Because these points are opposites and the faces are all parallel to the coordinates planes:

- 3 of the points are in the axes (2, 0, 0), (0, 4, 0) and (0, 0, 5)

- 3 of the points are in the planes (2, 4, 0), (0, 4, 5) and (2, 0 , 5)