document.write( "Question 880992: having trouble understand1ng the following = the floor area of a building is 2 square kilometers & the volume is 1 cubic kilometer. What is the height? The answer given in the textbook is .5km.....I can't get that result & am trying to explain it to my granddaughter. \n" ); document.write( "
Algebra.Com's Answer #531863 by KMST(5328)![]() ![]() You can put this solution on YOUR website! I cannot even imagine a building that large. \n" ); document.write( " \n" ); document.write( "We do not know the shape of the floor plan, but it does not matter. \n" ); document.write( "Apparently the height of the building is the same at all points. \n" ); document.write( "We can imagine that the building is shaped like a box, with a rectangular flooe plan, and a flat horizontal roof. \n" ); document.write( "A floor surface area of 2 square kilometers could mean that the building is 2 kilometers long and 1 kilometer wide. \n" ); document.write( "The volume of a box is calculated by multiplying length time width (to get the surface area of the base), and then multiplying times the height. \n" ); document.write( "In this case, \n" ); document.write( "(2 square kilometers)(height in kilometers) = 1 cubic kilometer \n" ); document.write( "Without writing the units \n" ); document.write( " \n" ); document.write( "So the height of the building is \n" ); document.write( " \n" ); document.write( "The building could look like this: \n" ); document.write( " |