[PapaBear3625]

How many cruise missiles will it carry?

Doesn't look like it carries any. Its primary role is to defend the other ships of the fleet against aircraft and missiles

[Stoat]

A little bit more detail from the builder's website, which may be of interest to all::

Products & Services - BAE Systems

Type 45 Destroyer

The Type 45 Anti-Air Warfare Destroyers will provide the backbone of the Royal Navy’s air defences for much of the first half of the 21st century.

Type 45 Destroyer

They will be able to engage a large number of targets simultaneously and defend aircraft carriers or groups of ships, such as an amphibious landing force, against the strongest future threats from the air. A versatile warship, the Type 45 will provide unprecedented detection and defensive capability and vastly improved living standards when the First of Class, Daring, enters service in 2009.

They will be capable of contributing to worldwide maritime and joint operations in multi-threat environments, providing a specialist air-warfare capability.

The Type 45’s main armament is the Principal Anti-Air Missile System (PAAMS), a world-beating surface-to-air missile system developed under a trinational programme by France, Italy and the UK. This advanced weapon system will defend the Type 45, her consorts and other task force vessels against highly manoeuvrable hostile incoming aircraft and missiles approaching at subsonic and supersonic speed, individually or in salvoes.

Six of the class of up to eight ships are on order from BAE Systems. The First of Class, Daring, was launched in February 2006 by Her Royal Highness the Countess of Wessex. The other ships on order are Dauntless, launched on January 23rd 2007, Diamond, Dragon, Defender and Duncan.

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(also)

Systems Integration - BAE Systems

"Each Type 45 will be fitted with a PAAMS missile system and Sampson radar, which are tested at the MISC facility in Portsmouth before being fitted onboard.

The Type 45's radar can track multiple incoming threats simultaneously, prioritise them, assign countermeasures and deploy them to targets. It can even track a target the size of a cricket ball approaching at three times the speed of sound. "

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For the benefit of fellow Yanks, a regulation-size cricket ball is between 224 and 229 millimeters (8.81 to 9.00 inches) in circumference (about the size of a baseball).

explanation