Question

a rectangular vessel has sufficient water ti submerge a cube with edge 5 cm. if the length and breadth of the base of vessel are 10 cm and 8 cm. find the rise in water level when the cube is submerged into it​

Answer 1

Answer:

By 20 cm

Step-by-step explanation:

There are 12 edges in a cube

So we will multiply it 12x5=60

10x8=80

Last step 80 - 60=20

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Answer 2

The rise in water level when the cube is submerged is 1.5625 cm if a rectangular vessel of  length and breadth  10 cm and 8 cm has sufficient water to submerge a cube with edge 5 cm

Given:

A rectangular vessel has sufficient water to submerge a cube with edge 5 cm

Length and breadth of the base of vessel are 10 cm and 8 cm

To Find:

The rise in water level  when the cube is submerged into it​

Solution:

Volume of cube = (edge length)³

Volume of cuboid = length * breadth * height

Step 1:

Find Volume of cube

Volume of cube = 5³ = 125 cm³

Hence  water raised = 125 cm³

Step 2:

Assume rise of water level = h cm hence find volume of water raised

10 * 8 * h

= 80h cm³

Step 3:

Equate volume of water raised and solve for h

80h = 125

=> 16h = 25

=> h = 25/16

=> h = 1.5625 cm

Hence The rise in water level when the cube is submerged is 1.5625 cm