70.3k views
5 votes
Find the side of a cube whose
surface area is 2646 sq cm. ​

User Jerie
by
8.1k points

1 Answer

3 votes

Answer: 21 cm

Work Shown:

SA = surface area of the cube

s = side length


\text{SA} = 6\text{s}^2\\\\\text{s}^2 = \frac{\text{SA}}{6}\\\\\text{s} = \sqrt{\frac{\text{SA}}{6}}\\\\\text{s} = \sqrt{(2646)/(6)}\\\\\text{s} = √(441)\\\\\text{s} = 21\\\\

User IsDotR
by
8.2k points