A cube has a total surface area of 600 square meters. What is the length of its diagonal?

Question: A cube has a total surface area of 600 square meters. What is the length of its diagonal?

Solution:
Total surface area of a cube = 6a²

According to the question,
6a² = 600
⇒ a² = 600 ÷ 6
⇒ a² = 100
⇒ a = 10

Now,
Diagonal of a cube = a√3
= 10√3 meters

∴ The length of the diagonal of the cube = 10√3 meters.