a tank 4 m long 1 5 wide is dug in..., Area & Volume, General Mathematics

Question:A  tank `4` m long, `1.5` m wide is dug in a field `31` m long and `10` m wide. If the earth dug out is evenly spread out over the filed, the rise in level of the field is :

A `3.1 cm` 
B `6.2 cm` 
C `5 cm` 
D `4.8 cm`

/113

+ AnswerC

+ ExplanationVolume of earth dug out 

`= (4 xx 5/2 xx 3/2) m^3`

`= 15 m^3.`

Area over which earth is spread 

`= (31 xx 10 - 4 xx 5/2) m^2`

`= 300 m^2`

Rise in Level 

`= (Volume/Area)`

`= (15/300 xx 100) cm`

`= 5 cm.`

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