document.write( "Question 947498: At trench is 180 ft and 12 ft deep , 7 ft wide at the top, and 4 ft at the botton. How many cubic yard of earth been removed ? \n" ); document.write( "

Algebra.Com's Answer #578175 by macston(5194) $\"\"$ $\"About$

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base 1=b1=7 ft, base 2=b2=4 ft, height=h=12 ft, Length=L
\n" ); document.write( "The cross section of the trench is a trapezoid
\n" ); document.write( "Area of a trapezoid= $\"+A=%28%28b1%2Bb2%29%2F2%29%2Ah\"$
\n" ); document.write( "The Volume (V)will equal cross sectional area times the length, so
\n" ); document.write( "Volume= $\"%28%28b1%2Bb2%29%2F2%29%2Ah%2AL\"$
\n" ); document.write( " $\"V=%28%287ft%2B4ft%29%2F2%29%2A12ft%2A180ft\"$
\n" ); document.write( " $\"V=5.5ft%2A12ft%2A180ft\"$
\n" ); document.write( "V=11880 cu ft
\n" ); document.write( "Convert the answer to cubic yards (27 cu ft=1 cu yd)
\n" ); document.write( "V=(11880 cu ft)(1 cu yd/27 cu ft)=440 cu yd
\n" ); document.write( "ANSWER: 440 cubic yards of dirt were moved to dig the trench. \n" ); document.write( "

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