Question

a tank 72cm long, 60cm wide & 36cm high
contains sufficient water to submerge completely
a metal block 48cm by 36cm by 15cm Find
in con the amount the water levels rises.​

Answer 1

Given :

• Tank length = 72 cm
• Tank breadth = 60 cm
• Tank height = 36 cm
• Block's dimensions = 48 cm , 36 cm , 15 cm

To Find :

• Height of water increase when block submerge in tank

Solution :

$\tt Volume_{tank} = l \times b \times h \\ \\ \tt Volume_{tank} = 72 \times 60 \times 36 \\ \\ \tt Volume_{tank} = 155520 \: {cm}^{3}$

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$\tt Volume_{block} = l \times b \times h \\ \\ \tt Volume_{block} = 48 \times 36 \times 15 \\ \\ \tt Volume_{block} = 25920 \: {cm}^{3}$

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$\tt Volume_{total} = \tt Volume_{tank} + \tt Volume_{block} \\ \\ \tt Volume_{total} = 155520 + 25920 \\ \\ \tt Volume_{total} = 181440 \: {cm}^{3}$

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When the block submerge in water them only height of water changes but Length and breadth become same.

$\tt Volume_{total} = l \times b \times h \\ \\ \tt h = \frac{ \tt Volume_{total}}{l \times b} \\ \\ \tt h = \frac{181440}{72 \times 60} \\ \\\tt h = \frac{181440}{4320} \\ \\ \tt h = 42 \: cm$

Height of water increase by 42 cm when block submerge in water