Final answer:
The statement is true; IPv6 requires enabling on both the router and the interfaces to operate correctly within a network environment.
Step-by-step explanation:
The statement 'IPv6 needs to be enabled on the router and the interfaces using it in order to work' is TRUE. For IPv6 to function properly, it must first be enabled both on the router itself as well as on the individual interfaces that will be processing IPv6 traffic. Without this configuration, IPv6 traffic cannot pass through the router or be properly routed to its destination. Therefore, proper setup and configuration are critical for the successful deployment of IPv6 in a network.