Does a land with a basic land type tap for mana even if it has no printed mana ability?

A land having a basic land type — Plains, Island, Swamp, Mountain, or Forest — automatically gains a corresponding mana ability by rule, even if the card itself has no printed activated ability. This is covered by CR 305.6, which states that each basic land type grants a specific intrinsic ability: Plains gives '{T}: Add {W}', Island gives '{T}: Add {U}', Swamp gives '{T}: Add {B}', Mountain gives '{T}: Add {R}', and Forest gives '{T}: Add {G}'.

This matters most when a card gains a basic land type through an effect. For example, if a spell or ability says 'target land becomes a Forest', that land immediately gains '{T}: Add {G}' — even if its printed text says nothing about producing mana. It does not lose its other abilities unless the effect specifically says so (CR 305.7).

Consider Godless Shrine: it is both a Plains and a Swamp. Even though its only printed ability involves paying life, CR 305.6 grants it '{T}: Add {W}' and '{T}: Add {B}' intrinsically. The printed life-payment ability is an additional option on top of those.

A concrete in-game example: your opponent casts Convincing Mirage, making your Mountain a Plains. Even though the Mountain card itself only ever said '{T}: Add {R}', it now intrinsically taps for {W} because it has the basic land type Plains — and it loses its Mountain-granted {R} ability because it is no longer a Mountain (CR 305.6).

Key rule references: CR 305.6 (basic land types grant mana abilities), CR 305.7 (gaining a type doesn't remove other abilities unless specified), and CR 205.1a (basic land types are Plains, Island, Swamp, Mountain, Forest).