Mathematics

Problem

A rectangular box with a square base and no top must have a volume of

1000\text{ cm}^3

. The material for the base costs \

0.20 per cm

^{2}

, and the material for the four sides costs

0.10 per cm

^{2}

. What height

h

of the box minimizes the total material cost? a)

13.3\text{ cm}

10\text{ cm}

6.3\text{ cm}

4.0\text{ cm}