Question 941545
A cube (square bottom box) has six faces: top, bottom, and four sides, all consisting of equal squares.With paint to cover 600 sq ft, each face could be 100 sq ft maximum.  Since the sides of a square are equal, the formula for area is:
{{{Area=(side)^2}}} and each edge would equal the square root of the area of the face. The square root of 100 sq ft is 10 feet, so the largest box is a cube 10 feet on each edge.