(iii) a closed top box with a square base will be made to hold 128 cubic feet. what are the dimensions that will minimize the surface area?

(iii) a closed top box with a square base will be made to hold 128 cubic feet. what are the dimensions that will minimize the surface area?

dimensionthat minimize the surfaceareais side is 6.35 feet andheightis 3.17 feet.## What is volume?

Volumeis a measurement of three-dimensional space that is occupied. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected. The space occupied inside an object’s borders in three dimensions is referred to as its volume. It is sometimes referred to as the object’scapacity. An object’s volume is the amount of space it occupies. Cubic meters are used to measure largequantities(m3). Cubic centimeters (cm3) or cubic millimeters are used to measure smaller quantities (mm3).sideandheightmeasurements that minimize the surfaceareaare 6.35 feet and 3.17 feet, respectively.volume,