Which network device maintains information on where to forward data packets to reach remote destinations?

A router

The purpose of a router is to forward data packets between networks. Typically, data packets are forwarded from one router to another router until the packet reaches its final destination.

Each data packet contains network address information that reveals the destination of the packet. The router uses information from its routing table (like a lookup table) to determine where to forward the data packet.

Hypothesis: volumes of both figures are equal.the volume of  figure 1 is: .the volume of figure 2 is: .since , you can conclude that and . so, .volumes of figures are equal only when an angle in the basis is right (then figures will be the same), in another cases volume of figure 1 is less than volume of figure 2.the hypothesis was not correct in all cases.