Question

Elena has 80 unit cubes what is the volume of the largest cube she can build with them?

Answer 1

64 cubic units, where the side lengths are 4 units long

Explanation:

If Elena has 80 unit cubes, the largest cube she can build would be a cube with each side made up of the maximum number of unit cubes. To find this, we need to find the cube root of 80:

`\sqrt[3]{80}`

The cube root of 80 is approximately 4.31. However, since we can't have a fraction of a cube, we would take the integer part, which is 4.

So, the largest cube Elena can build would have each side consisting of 4 unit cubes. The volume of this cube would be:

4 × 4 × 4 = 64 cubic units