A storage tank in form of a cube has water up to its brim. The amount of water in the tank is 4096m³. After some time, it is found that depth of water present is 12m. Find the volume of water used.

1024

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1124

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1098

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None of these

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Solution

The correct option is A
1024

The storage tank is a cube of volume 4096 $m^{3}$ .

Therefore the dimensions of the cube are 16x16x16.

The present depth of water(h) is 12m.

Therefore depth of water already used(h^I) = 16 -12 = 4m

Therefore volume of water already used = lbh^I = 16 x 16 x4 = 1024 $m^{3}$

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A storage tank in form of a cube has water up to its brim. The amount of water in the tank is 4096m3. After some time, it is found that depth of water present is 12m. Find the volume of water used.

The correct option is A 1024 The storage tank is a cube of volume 4096m3 . Therefore the dimensions of the cube are 16x16x16. The present depth of water(h) is 12m. Therefore depth of water already used(hI) = 16 -12 = 4m Therefore volume of water already used = lbhI = 16 x 16 x4 = 1024m3

A storage tank in form of a cube has water up to its brim. The amount of water in the tank is 4096m³. After some time, it is found that depth of water present is 12m. Find the volume of water used.