MODERATE EXERCISES - Modeling Real World Problems
(1) An open rectangular box with a volume of 12 m3 has a square base. Find its surface area A if the length of one side of the base is 2 m.
(2) An open rectangular box with a volume of 12 m3 has a square base. Express the surface area A of the box as function of the length x of one side of the base.
(3) Two cyclists, 90 km apart, start riding toward each other at the same time. One cycles twice as fast as the other. If they meet 2 h later, at what speed are they travelling?
(4) A factory is to be built on a lot measuring 180 units by 240 units. A lawn of uniform width and equal area to the factory is to be surrounding the factory. What is the width of this lawn, and what are the dimensions of the factory?
(5) Given a cylinder, closed at one end, with radius 10 cm and height h cm. The volume of the cylinder is 1.5 L. Find the surface area of the cylinder.
(6) A plane flying with a tailwind travelled 360 km in 1.5 hours. On the return trip, under the same wind conditions and airspeed, it took the plane 0.5 hours more. Find the windspeed and the airspeed of the plane.
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