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Wednesday, April 30, 2014

More Cube Problems, 3

Category: Solid Geometry, Physics

"Published in Newark, California, USA"

What is the weight of a block of ice 24 in. by 24 in. by 24 in., if ice weighs 92 percent as much as water, and water weighs 62.5 lb. per cu. ft.?


To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

The first that we need to do is to get the volume of an ice which is a cube as follows

Since the density of ice is expressed in lb. per cu.ft., then we need to convert the volume of an ice in cu. ft. as follows

If the specific gravity of ice is 0.92, then the density of ice is

Therefore, the weight of ice is