Solve the Problem $\$ 3$ Per Square Foot While the Material for the Sides and Rectangular

Multiple Choice

Solve the problem.
-The material for the bottom of a rectangular box costs $\$ 3$ per square foot while the material for the sides and top costs $\$ 1$ per square foot. Find the greatest capacity such a box can have if the total amount available for material is $\$ 12$ .

A) $2 \mathrm{ft}^{3}$
B) $3 \mathrm{ft}^{3}$
C) $4 \mathrm{ft}^{3}$
D) $1 \mathrm{ft}^{3}$