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Mathematics

A tank with dimensions 12 m, 10 m and 8 m is dug and the soil taken out of it is spread uniformly on a field of length = 40 m and breadth = 32 m. The rise in level of the field is :

  1. 7.5 m

  2. 7.5 cm

  3. 75 cm

  4. 75 m

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Answer

Given:

Dimensions of tank = 12 m, 10 m and 8 m

Dimensions of field = 40 m, 32 m

Let h be the height of field.

Volume of tank = Volume of soil spread on the field

⇒ ltank x btank x htank = lfield x bfield x hfield

⇒ 12 x 10 x 8 = 40 x 32 x h

⇒ 960 = 1,280 x h

⇒ h = 9601,280\dfrac{960}{1,280} m

⇒ h = 0.75 m = 75 cm

The rise in level of the field is 75 cm.

Hence, option 3 is the correct option.

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