Plane and solid geometry . dozen. Ex. 1622. In the figure, B. (7, and D are the mid-points of the edges of the cube meet-ing at A» What part of the whole cube is thepyramid cut off by plane BCD ? Hint. Consider ^jBCas the base and D asthe vertex of the pyramid. Ex. 1623. Is the result of Ex. 1622 thesame if the figure is a rectangular parallelopiped ? any parallelepiped ? Ex. 1624. It is proved in calculus that in order that a cylindrical tincan closed at the top and having a given capacity may require the small-est possible amount of tin for its construction, the diameter of the basemust equa
Plane and solid geometry . dozen. Ex. 1622. In the figure, B. (7, and D are the mid-points of the edges of the cube meet-ing at A» What part of the whole cube is thepyramid cut off by plane BCD ? Hint. Consider ^jBCas the base and D asthe vertex of the pyramid. Ex. 1623. Is the result of Ex. 1622 thesame if the figure is a rectangular parallelopiped ? any parallelepiped ? Ex. 1624. It is proved in calculus that in order that a cylindrical tincan closed at the top and having a given capacity may require the small-est possible amount of tin for its construction, the diameter of the basemust equal the height of the can. Find the dimensions of such a canholding 1 quart; 2 gallons. Ex. 1625. A cylindrical tin can holding 2 gallons has its heiglit equalto the diameter of its base. Another cylindrical tin can with the samecapacity has its height equal to twice the diameter of its base. Find theratio of the amount of tin required for making tlie two i ans. Is youranswer consistent with the fact contained in Ex. 162i ?.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
