Question

A cube of volume 27 has 1 x 1 square holes drilled through the center of each face and passing through the center of the cube. What is the volume of the figure that remains?

Answer 1

22

Explanation:

1. To find the dimensions of the cube we have to assume it is a regular 3D shape in which case we can find the cube root of 27 which is 3

2. Now we know each dimension is 3 we can visualize that if we drilled a 1x1 hole in the center of each face then the hole would be a cuboid that is 1x1x3 on one face and on the second both drilled holes intersect with each other at the center of the cube it would be 1x1x2

3. calculating the volume of each 1x1x3 + 1x1x2 = 5

27-5 = 22

4. The best way to imagine this shape would be a hollow cube with no center and the middle of each face missing