1) A sheet of paper for a poster contains 18 square cm. The margins at the top and bottom are 0.75 cm and at the sides 0.5 cm. What are the dimensions if the printed area is to be a maximum?
2) A cylindrical container with circular base is to hold 64 cubic centimeters. Find the dimensions so that the surface area will be a minimum when the cylinder is closed at the top.
Hello qznoThis is a very small poster - more like a postage stamp! Only 18 sq cm?Originally Posted by qzno
Suppose the width of the paper iscm. Then, using area = length x width, the height is
cm.
The width of the printed area is 1.0 cm less than that of the paper, and its height is 1.5 cm less. So the width and height of the printed area are ...?... cm and ...?... (in terms of
Multiply these to get an expression for the printed area,sq cm, and then find the value of
(Answer:cm. So the dimensions are ...?)
If the radius of the cylinder is2) A cylindrical container with circular base is to hold 64 cubic centimeters. Find the dimensions so that the surface area will be a minimum when the cylinder is closed at the top.cm, and the height
cm, then the volume
So...?... (in terms of
The total surface area of the cylinder,...?... (in terms of
Now find the value ofa minimum.
(Answer:cm. So the dimensions are ...?)
Can you complete these now?
Grandad
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