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the sentence does not violate the phrase structure second rule (introduced by noam chomsky) because noun phrases consist of a determiner such as a, the or every, and a noun. in the sentence, the noun phrase the cake includes a determiner (the) and a noun (cake).

on the other hand, the first rule indicates that a sentence encloses a noun phrase, followed by a verb phrase. the example sentence can be analysed as follows:

john (n) + ate (v) + the (det) + cake (n).

we know that, volume of a rectangular prism is given by :

✿   {length × width × height}

given : the length of rectangular prism = 5.5

given : the width of rectangular prism = 6

given : the height of rectangular prism = 3

⇒ the volume of given rectangular prism = {5.5 × 6 × 3}

⇒ the volume of given rectangular prism = 99