Question

Music House uses cubic boxes to ship out CDs. The surface area of their smallest box is 864 square centimeters. A manager decided that he needed to order more just like the other boxes. When ordering more from a new catalog company he was given the formula (Surface Area = 6s 2) to determine the side length of the cubic box he needs. Where s stands for the side length of the box. Which side length should the manager order?

Answer 1

The side length he should order is he wants the same size is 4.89 cm but more than 5 cm in case he wants bigger boxes.

How are the side length and the total area related?

These two factors are related in the expression:

• Total area: 6s²

Due to this, if you know the total area you can determine the side length and vice versa.

What is the side length if the total area is 864 squared centimeters?

• Total area: 6s²
• 864= 6s² or
• 6s² = 864
• 6s = √864
• 6s= 29.39
• s= 29.39 / 6
• s=4.89

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