Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 441 square meters.

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A: The solution is given below in the next step:

Q: determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

A: we have given surface area of the rectangular solid is 316.5 cm2

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Q: Determine the dimension of a rectanglular solid with a square base with a maximum volume of its…

A: Volume V=x2y Surface area=2x2+4xy

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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.