The volume of a cube is 3375 cm3. What is the length of the longest rod that can be placed in this cube?
Answer & explanation
Correct answer: option 2
We know that,
The volume of cube = side3
Diagonal of cubes = \(\sqrt {3}\) × Side of cube
We have,
The volume of cube = 3375 cm3
= side3 = 3375 cm3
= side = 15 cm
length of the longest rod = \(\sqrt {3}\) × Side of cube = 15\(\sqrt {3}\) cm