Question

A metal cube is completely submerged in a cylindrical vessel containing water. The diameter of the vessel is 30 cm, the level of water is raised by 41 1 99 cm. The length of the edge of the cube is

Answer 1

Answer:

Edge of cube = 10 cm

Total surface area of given cube = 600cm²

Step-by-step explanation:

Given : Diameter of cylindrical vessel = 30cm, So radius = 15cm

And when cube submerged water level increase by 14199 cm = 99 + 4199 = 14099cm

Let edge of cube = x and we know volume of cube = (edge) ³,so

Volume of given cube = x³

We know volume of cylinder = π r² h, so

Volume of water = 227 x 152 x 14099

= 2 x 15 x 15 x 209

= 2 x 5 x 5 x 20

= 1000cm³

Here, when a cube is submerged into a cylindrical vessel, the volume of water displaced is equal to the volume of cube.

Therefore,

x³ = 1000

x³ = 103

x = 10

So,

edge of cube = 10cm

We know total surface area of cube = 6(edge)²

So, total surface area of given cube = 6(10)² = 6(100) = 600cm²

I hope this will be help you.

Answer 2

Answer:

• 600cm²

I hope this will be help you.