# For a plot of land of 100 m Ã— 80 m, the length to be raised by spreading the earth from stack of a rectangular base 10 m Ã— 8 m and vertical section being a trapezium of height 2 m. The top of the stack is 8 m Ã— 5 m. How many centimeters can the level raised?

 [ A ]    3 cm [ B ]    2.5 m [ C ]    2 cm [ D ]    1.5 cm
 Answer : Option D Explanation : The stack is in the form having vertical cross section of trapezium. âˆ´ Volume of Earth in the stack = Area of cross section of trapezium Ã— Height âˆ´ Volume = $1\over2$(10+5) x 2 x 8 = 15 x 8 $m^2$ According to the question, Volume of Earth to be spread = (Area of field) Ã— Level raised âˆ´ Level raised =$15X8\over100X80$ = $15\over1000$ m= 1.5cm