A cube has side lengths of 15 cm. If a hole is drilled from one corner straight through the centre and out the other side, what is the length of the hole?
a. 27.65 cm
c. 12.99 cm
b. 21.21 cm
d. 25.98 cm
To find the length of the hole, we can use the Pythagorean theorem.
The diagonal of a cube can be found by using the formula diagonal = side length * √3.
Therefore, the diagonal of the cube is 15 cm * √3 = 25.98 cm.
Since the hole goes straight through the center of the cube, the length of the hole is equal to the length of the diagonal, which is 25.98 cm.
Therefore, the answer is d. 25.98 cm.