MathCastle
Grade 6SuperchallengeSurface Area and Volume

Surface Area and Volume · Superchallenge problem

A small box has whole-number edge lengths, a volume of 2424 cubic cm and a surface area of 5252 square cm. A big box has exactly the same shape, but each of its edges is the same whole number of times as long as the matching edge of the small box. The big box has a volume of 648648 cubic cm. What is the surface area of the big box, in square centimeters?