Cloak of the Hedge Wizard and Arcane Spell Failure

[Garydoho]

Hi,
I am considering adding a Cloak of the Hedge Wizard to a full plate armored Paladin.

CLOAK OF THE HEDGE WIZARD from the PRD:

Price 2,500 gp; Aura faint, school based on cloak type ; CL 1st; Weight 1 lb.
This cloak comes in eight varieties—one for each school of magic. The cloak grants its wearer the ability to use a certain number of spells on command (caster level 1st) based on its school of magic. It also grants the wearer the ability to use prestidigitation on command and at will.

Abjuration: at will—resistance; 1/day—endure elements, shield

Conjuration: at will—acid splash; 1/day—mage armor, unseen servant

Divination: at will—detect magic; 1/day—detect secret doors, true strike

Enchantment: at will—daze; 1/day—charm person, sleep

Evocation: at will—light; 1/day—floating disk, magic missile

Illusion: at will—ghost sound; 1/day—color spray, silent image

Necromancy: at will—touch of fatigue; 1/day—cause fear, ray of enfeeblement

Transmutation: at will—mage hand; 1/day—enlarge person, expeditious retreat

I am wondering if the use of the "spells" that the item grants is triggered by command word activation, or if it grants these as actual spells per day and is subject to arcane spell failure. Has there been a ruling on spells granted items with this type of wording? Thanks.

[Garydoho]

As a follow up would the transmutation cloak take a standard or full round to use enlarge person? Thanks again.

[Mojorat]

the wording of the cloak seems to imply they are all SLA. this means the enlarge person would be a full round casting.

[Remy Balster]

to use a certain number of spells on command

to use prestidigitation on command and at will.

on command

command

[Garydoho]

Thanks