Rompecabeza: "What's My Age Again?"

09.11.15_CAKES

Put on some Blink 182 and crank it to 11, because we’re not sure how old we are in this week’s Rompecabeza:

My age is a perfect cube. Two years ago it was a perfect square. Next year it will be a

triangle number. How old am I?
09.11.15_CAKES_QUESTION
Check back next week for the answer.
Last week we asked you to identify some kitchen tools based only on their pairs of double letters. Here’s the completed list:
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