You wish to Construct a closed rectangular box that has a volume of 4 ft^3. The length of the base of the box will be twice as long as its width. The material for the box and bottom of the box cost 60 cents/ft^2. The material for the side of the box cost 40 cents/ft^2. Find the dimensions of the least expensive box that can be constructed.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
You wish to Construct a closed rectangular box that has a volume of 4 ft^3. The length of the base of the box will be twice as long as its width. The material for the box and bottom of the box cost 60 cents/ft^2. The material for the side of the box cost 40 cents/ft^2. Find the dimensions of the least expensive box that can be constructed.
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