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11.2: building with 32 cubes your teacher will give you 32 snap cubes. …

Question

11.2: building with 32 cubes
your teacher will give you 32 snap cubes. use them to build the largest single cube you
can. each small cube has an edge length of 1 unit.

  1. how many snap cubes did you use?

Explanation:

Step1: Find cube volumes

Calculate volumes of cubes with integer edge lengths:

  • Edge length 1: $1^3 = 1$
  • Edge length 2: $2^3 = 8$
  • Edge length 3: $3^3 = 27$
  • Edge length 4: $4^3 = 64$

Step2: Select largest valid volume

Choose the largest volume ≤ 32: $27 < 32 < 64$

Answer:

27