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A metal cube of side 4 cm is immersed in a water tank. The length and breadth of the tank are 8 cm and 4 cm respectively. Find the rise in level of the water. - Mathematics

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Question

A metal cube of side 4 cm is immersed in a water tank. The length and breadth of the tank are 8 cm and 4 cm respectively. Find the rise in level of the water.

Sum

Solution

Volume of metal cube
= Volume of water level risen in the tank
l3 = Volume of water level risen in the tank
∴ Volume of water level risen in the tank 
= 43
= 64cm3
The volume of water rise is in the shape of the cuboid
∴ l x b x h = 64
8 x 4 x h = 64

∴ h = `(64)/(8 xx 4)`
∴ h = 2cm
∴ The rise in the water level is 2cm.

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Chapter 25: Surface Areas and Volume of Solids - Exercise 25.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 25 Surface Areas and Volume of Solids
Exercise 25.1 | Q 22

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