A closed rectangular box is to be made with a volume of 0.9 m³. In addition, 1. the box must have a square base; 2. the area of

Question

A closed rectangular box is to be made with a volume of 0.9 m³. In addition,
1. the box must have a square base;
2. the area of the base must not exceed 1.8 m²;
3. the height of the box must not exceed 0.75 m.
Determine the dimensions of the box that would generate:
a. a minimal surface area;
b. a maximal surface area.

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