Mathematics

Problem

95. Industrial Design Gilman Construction is hired to build a rectangular tank with a square base and no top. The tank is to hold

1000 \mathrm{ft}^{3}

of water. Let

x

be a length of the base. (a) Express the outside surface area

S

of the tank as a function of

x

. (b) Find the length, width, and height of the tank if the outside surface area is

600 \mathrm{ft}^{2}

. (c) What dimensions are possible for the tank if the outside surface area is to be less than

600 \mathrm{ft}^{2}