21 + Mcqs in Volume and Surface Area in Aptitude Page 1 McqOptions

1.	The curved surface area of a cylindrical pillar is 264 m and its volume is 924 m. Find the ratio of its diameter to its height.
A.	3 : 7
B.	7 : 3
C.	6 : 7
D.	7 : 6
Answer» C. 6 : 7

Discussion

2.	50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m, then the rise in the water level in the tank will be:
A.	20 cm
B.	25 cm
C.	35 cm
D.	50 cm
Answer» C. 35 cm

Discussion

3.	A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m) is:
A.	4830
B.	5120
C.	6420
D.	8960
Answer» C. 6420

Discussion

4.	A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm, then the weight of the pipe is:
A.	3.6 kg
B.	3.696 kg
C.	36 kg
D.	36.9 kg
Answer» C. 36 kg

Discussion

5.	The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.
A.	3 : 7
B.	7 : 3
C.	6 : 7
D.	7 : 6
Answer» C. 6 : 7

Discussion

6.	A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
A.	90 cm
B.	1 dm
C.	1 m
D.	1.1 cm
Answer» C. 1 m

Discussion

7.	A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
A.	2 : 1
B.	3 : 2
C.	25 : 18
D.	27 : 20
Answer» D. 27 : 20

Discussion

8.	How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
A.	5600
B.	6000
C.	6400
D.	7200
Answer» D. 7200

Discussion

9.	50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m³, then the rise in the water level in the tank will be:
A.	20 cm
B.	25 cm
C.	35 cm
D.	50 cm
Answer» C. 35 cm

Discussion

10.	A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m³) is:
A.	4830
B.	5120
C.	6420
D.	8960
Answer» C. 6420

Discussion

11.	A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A.	720
B.	900
C.	1200
D.	1800
Answer» D. 1800

Discussion

12.	A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:
A.	3.6 kg
B.	3.696 kg
C.	36 kg
D.	36.9 kg
Answer» C. 36 kg

Discussion

13.	66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
A.	84
B.	90
C.	168
D.	336
Answer» B. 90

Discussion

14.

What is the capacity of the cylindrical tank?
I.
The area of the base is 61,600 sq. cm.
II.
The height of the tank is 1.5 times the radius.
III.
The circumference of base is 880 cm.

A.

Only I and II

B.

Only II and III

C.

Only I and III

D.

Any two of the three

E.

Only II and either I or III

Answer» F.

Discussion

15.

What is the volume of 32 metre high cylindrical tank?
I.
The area of its base is 154 m².
II.
The diameter of the base is 14 m.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer» D. Both I and II are not sufficient to answer

Discussion

16.

Is a given rectangular block, a cube?
I.
At least 2 faces of the rectangular block are squares.
II.
The volume of the block is 64.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer» E. Both I and II are necessary to answer

Discussion

17.

What is the height of a circular cone?
I.
The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II.
The area of the base of that cone is 154 sq. cm.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer» E. Both I and II are necessary to answer

Discussion

18.	A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
A.	12 kg
B.	60 kg
C.	72 kg
D.	96 kg
Answer» C. 72 kg

Discussion

19.

What is the capacity of a cylindrical tank?
I.
Radius of the base is half of its height which is 28 metres.
II.
Area of the base is 616 sq. metres and its height is 28 metres.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer» D. Both I and II are not sufficient to answer

Discussion

20.	In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A.	75 cu. m
B.	750 cu. m
C.	7500 cu. m
D.	75000 cu. m
Answer» C. 7500 cu. m

Discussion

21.

What is the volume of a cube?
I.
The area of each face of the cube is 64 square metres.
II.
The length of one side of the cube is 8 metres.

A.

I alone sufficient while II alone not sufficient to answer

B.

II alone sufficient while I alone not sufficient to answer

C.

Either I or II alone sufficient to answer

D.

Both I and II are not sufficient to answer

E.

Both I and II are necessary to answer

Answer» D. Both I and II are not sufficient to answer

Discussion

Explore topic-wise MCQs in Aptitude.

The curved surface area of a cylindrical pillar is 264 m and its volume is 924 m. Find the ratio of its diameter to its height.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m, then the rise in the water level in the tank will be:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m) is:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm, then the weight of the pipe is:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

What is the capacity of the cylindrical tank? I. The area of the base is 61,600 sq. cm. II. The height of the tank is 1.5 times the radius. III. The circumference of base is 880 cm.

What is the volume of 32 metre high cylindrical tank? I. The area of its base is 154 m2. II. The diameter of the base is 14 m.

Is a given rectangular block, a cube? I. At least 2 faces of the rectangular block are squares. II. The volume of the block is 64.

What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

What is the volume of a cube? I. The area of each face of the cube is 64 square metres. II. The length of one side of the cube is 8 metres.

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m³, then the rise in the water level in the tank will be:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m³) is:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:

What is the capacity of the cylindrical tank?
I.
The area of the base is 61,600 sq. cm.
II.
The height of the tank is 1.5 times the radius.
III.
The circumference of base is 880 cm.

What is the volume of 32 metre high cylindrical tank?
I.
The area of its base is 154 m².
II.
The diameter of the base is 14 m.

Is a given rectangular block, a cube?
I.
At least 2 faces of the rectangular block are squares.
II.
The volume of the block is 64.

What is the height of a circular cone?
I.
The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II.
The area of the base of that cone is 154 sq. cm.

What is the capacity of a cylindrical tank?
I.
Radius of the base is half of its height which is 28 metres.
II.
Area of the base is 616 sq. metres and its height is 28 metres.

What is the volume of a cube?
I.
The area of each face of the cube is 64 square metres.
II.
The length of one side of the cube is 8 metres.