Math Quadratic equations

Question

A lidless box is constructed from a square piece of tin by cutting a square from each of the four corners. If the dimensions of the original piece of tin are 33 cm by 33 cm, and area of the base of the box is 529 cm2, find the height of the box.

Answer 1

sqr529=23

height = 5 cm

(33-2h)=23

2h =33-23=10

h=10/2 = 5