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UPSC CDS Math Volume and Surface Area Questions
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© examsnet.com
Question : 101
Total: 104
For a plot of land of 100 m x 80 m, the level is to be raised by spreading the earth from a stack of a rectangular base 10 m x 8 m with vertical section being a trapezium of height 2 m. The top of the stack is 8 m x 5 m. By how many centimeters can the level be raised ?
[2014 CDS-I]
3 cm
2.5 cm
2 cm
1.5 cm
Validate
Solution:
Area of the plot of land
=
100
×
80
=
800
m
2
Volume of earth in the stack = Area of cross-section of the trapezium × Height of the trapezium
=
1
2
×
(
10
−
5
)
×
2
×
8
=
120
m
3
Therefore, rise in the level of the plot
=
Volume of earth in the stack
Area of the plot of land
=
120
800
m
=
12
8000
×
100
c
m
=
1.5
c
m
© examsnet.com
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