Question

If 1300 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.What is the volume in cubic centimetres?

Answer 1

4192.4 cm³

Explanation:

x = length of one side

x² = area of one side

There are 5 sides because it's an open top.

5(x²) = 1300

x² = 1300/5 = 260

x = √260 = 16.12

Volume = x³ = 16.12³ = 4192.4 cm³