Multiple choice

How many cubes with volume $8$ cubic units can be cut from a cube with a surface area of $96$ square units?

  1. $6$
  2. $7$
  3. $8$
  4. $9$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Surface area of large cube = 6 * s^2 = 96, so s^2 = 16, s = 4. Volume of large cube = 4^3 = 64. Number of small cubes = 64 / 8 = 8.

AI explanation

First find the edge length of the larger cube from its surface area using the formula 6 * a^2 = 96, which gives a^2 = 16 and an edge length a = 4 units. The volume of this larger cube is 4^3 = 64 cubic units. Since each small cube has a volume of 8 cubic units, dividing 64 by 8 gives 8 cubes. The answer is 8.

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