Question

a cube of Edge 8 cm is immersed completely in a rectangular vessel containing water if the dimension of the base of The vessel are 16 cm by 10 cm find the rise in the level of water in the vessel

Answer 1

Given, edge of the cube = 11 cm

Dimension of the base of the rectangular vessel = 15 cm × 12 cm

Let the rise in water level in the rectangular vessel be h cm.

Since, the cube is completely un messed in the rectangular vessel,

∴ Volume of water displaced in the rectangular vessel = Volume of the cube

⇒ 15 cm × 12 cm × h = (11 cm)3

⇒ h ≈ 7.39 cm

Thus, the rise in water level in the rectangular vessel is 7.39 cm approximately.

#BEBRAINLY

Answer 2

Answer:

The rise in the water level is 3.2 cm.

Step-by-step explanation:

Given:

• A cube of 8 cm edge is immersed completely in a rectangular vessel containing water.
• The dimensions of the base are 16 cm and 10 cm.

To Find:

• The rise in water level =?

Solution:

To find the rise in the water level,

We need to determine the volume of the cube and the volume of the water it displaces.

The volume of the cube can be calculated as follows:

= 8 cm x 8 cm x 8 cm

= 512 cubic cm.

The volume of water displaced can be calculated as follows:

= X cm x 16 cm x 10 cm

= 160X cubic cm

Where X is the rise in water level.

To find the rise in water level,

We need to equate the two volumes:

160X = 512

Solving for X:

X = 512/160 = 3.2 cm

Thus, the rise in the water level is 3.2 cm.

Here are some additional points to consider when finding the rise in water level:

• The rise in water level is directly proportional to the volume of the object immersed in the water.

• The rise in water level can be calculated by dividing the volume of the object by the area of the base of the water vessel.

• In this particular scenario, the object is a cube with an edge length of 8 cm and the base of the water vessel has dimensions of 16 cm x 10 cm.

• The rise in water level, X, can be calculated by solving the equation 160X = 512.

• The final answer is X = 3.2 cm, which represents the rise in the water level.

• This rise in water level is important to consider in applications such as determining the fluid level in tanks or determining the impact of objects on fluid levels in various containers or vessels.