Maths-

General

Easy

Question

# A cube of 11 cm edge is immersed completely in a rectangular vessel containing the liquid. If the dimensions of the base of the vessel are 12 cm and 15 cm, calculate the rise in the water level?

- 7.33
- 7.39
- 7.00
- 7.36

Hint:

### Volume of cube:- a3 where a is side of cube.

Volume of a cuboid = length × breadth × height [cubic units]

or

Volume of a cuboid = l × b × h [cubic units]

Where,

l = length

b = breadth

h = height

## The correct answer is: 7.39

- We know that,

The dimensions of the base of the vessel are 15 cm × 12 cm

l =15cm

b = 12cm

- Consider the rise in the water level = h cm
- Volume of given cube = (11)
^{3}=1331
- So the volume of cube = volume of the vessel
- Substituting these values

1331 = 15 × 12 × h

- By further calculation

h = 1331/ (15 × 12)

- So we get

h = 1331/ 180 = 7.39 cm

- Therefore, the rise in the water level is 7.39 cm.
- Therefore the correct option is b)7.39.

^{3}=1331### Related Questions to study

Maths-

### The circumference of the base of a 12 cm high wooden solid cone is 44 cm. Find the volume

### The circumference of the base of a 12 cm high wooden solid cone is 44 cm. Find the volume

Maths-General

Maths-

### Given length, breadth, and height of a cuboid are 15 cm, 37.5 cm, and 48 cm. Find the cube edge whose given volume is equal to the volume of this cuboid. Also, calculate the length of the diagonal to the nearest natural number.

### Given length, breadth, and height of a cuboid are 15 cm, 37.5 cm, and 48 cm. Find the cube edge whose given volume is equal to the volume of this cuboid. Also, calculate the length of the diagonal to the nearest natural number.

Maths-General

Maths-

### Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.

Use 3.14 for pi.

### Vtotal = Vcone 1+Vcone 2 Find the volume of the composite solid.

Use 3.14 for pi.

Maths-General

Maths-

### Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

### Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

Maths-General

Maths-

### Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

### Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

Maths-General

Maths-

### The dimensions of a cubical box are in the ratio of 5:4:3.and the length of the diagonal is 10√2. Calculate the total surface area?

### The dimensions of a cubical box are in the ratio of 5:4:3.and the length of the diagonal is 10√2. Calculate the total surface area?

Maths-General

Maths-

### Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

### Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

Maths-General

Maths-

### Given dimensions of the room are 24 cm in breadth, 30 cm in height and 18 cm in length. Find the length of the longest pole that can be placed in the room

### Given dimensions of the room are 24 cm in breadth, 30 cm in height and 18 cm in length. Find the length of the longest pole that can be placed in the room

Maths-General

Maths-

### Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup r = 3, h = 7

### Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup r = 3, h = 7

Maths-General

Maths-

### Surface area of a cube is 443.76 cm^{2} . Find the volume of it?

### Surface area of a cube is 443.76 cm^{2} . Find the volume of it?

Maths-General

Maths-

### Find the volume of the cone. Round decimals nearest tenth r = 14ft, h = 18 ft

### Find the volume of the cone. Round decimals nearest tenth r = 14ft, h = 18 ft

Maths-General

Maths-

### The dimensions of a cuboid are in the ratio of 4:3:2 and its total surface area is 1300 cm^{2 }. Find its length, breadth, and height respectively?

### The dimensions of a cuboid are in the ratio of 4:3:2 and its total surface area is 1300 cm^{2 }. Find its length, breadth, and height respectively?

Maths-General

Maths-

### Find the volume of the cone. Round decimals nearest tenth. D = 12cm, h = 8 cm

### Find the volume of the cone. Round decimals nearest tenth. D = 12cm, h = 8 cm

Maths-General

Maths-

Maths-General

Maths-

### Find out the side of cube if the complete surface area is given to be 346.56 cm^{2}.

### Find out the side of cube if the complete surface area is given to be 346.56 cm^{2}.

Maths-General