Volumes Mcqs - Set 6

1)   What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?

a. 10 cm
b. 12 cm
c. 15 cm
d. 13 cm
Answer  Explanation 

ANSWER: 13 cm

Explanation:
No explanation is available for this question!


2)   Find the length of the wire required to go 15 times round a square field containing 69696 m2.

a. 15840 m
b. 16840 m
c. 15820 m
d. 15640 m
Answer  Explanation 

ANSWER: 15840 m

Explanation:
a2 = 69696 => a = 264

4a = 1056

1056 * 15 = 15840


3)   The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?

a. 8 cm
b. 12 cm
c. 14 cm
d. 10 cm
Answer  Explanation 

ANSWER: 12 cm

Explanation:
No explanation is available for this question!


4)   If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?

a. 3:1
b. 8:1
c. 9:1
d. 12:1
Answer  Explanation 

ANSWER: 9:1

Explanation:
a1 : a2 = 3 : 1

6 a12 : 6 a22 = 9: 1


5)   The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.

a. 5 cm
b. 19 cm
c. 13 cm
d. 144 cm
Answer  Explanation 

ANSWER: 13 cm

Explanation:
No explanation is available for this question!


6)   The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?

a. 120 cm3
b. 120 cm2
c. 148 cm2
d. 15 cm3
Answer  Explanation 

ANSWER: 120 cm2

Explanation:
4*5*6 = 120


7)   The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?

a. 120 cm2
b. 148 cm2
c. 74 cm2
d. 15 cm2
Answer  Explanation 

ANSWER: 148 cm2

Explanation:
2(4*5 + 5*6 + 4*6) = 148


8)   The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

a. 3 dm
b. 4 dm
c. 5 dm
d. 6 dm
Answer  Explanation 

ANSWER: 6 dm

Explanation:
No explanation is available for this question!


9)   How many cubes of edge 2 dm can be cut out of a meter cube?

a. 50
b. 64
c. 216
d. 125
Answer  Explanation 

ANSWER: 125

Explanation:
1 * 1* 1 = 2/10 * 2/10 * 2/10 * x

x = 125


10)   The volume of a cube is 1728 cc. Find its surface.

a. 864 cm2
b. 648 cm2
c. 486 cm2
d. 468 cm2
Answer  Explanation 

ANSWER: 864 cm2

Explanation:
No explanation is available for this question!


11)   The surface of a cube is 24sq cm. Find its volume?

a. 8 cc
b. 16 cc
c. 32 cc
d. 64 cc
Answer  Explanation 

ANSWER: 8 cc

Explanation:
No explanation is available for this question!


12)   A solid consists of a circular cylinder with an exact fitting right circular cone placed on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone then the height of the cylinder is________?

a. 2h
b. 4h
c. 2h/3
d. 3h/2
Answer  Explanation 

ANSWER: 2h/3

Explanation:
No explanation is available for this question!


13)   If the radius of the sphere is doubled then it’s volume is increased by?

a. 100 %
b. 200 %
c. 700 %
d. 800 %
Answer  Explanation 

ANSWER: 700 %

Explanation:
No explanation is available for this question!


14)   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  Explanation 

ANSWER: 7 : 3

Explanation:
No explanation is available for this question!


15)   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  Explanation 

ANSWER: 1 dm

Explanation:
No explanation is available for this question!


16)   What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

a. 344.35 cm2
b. 344.35 cm2
c. 344.35 cm2
d. None of these
Answer  Explanation 

ANSWER: 344.35 cm2

Explanation:
No explanation is available for this question!


17)   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  Explanation 

ANSWER: 25 : 18

Explanation:
No explanation is available for this question!


18)   Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be

a. 4920 cm2
b. 4727 cm2
c. 9856 cm2
d. 19712 cm2
Answer  Explanation 

ANSWER: 9856 cm2

Explanation:
No explanation is available for this question!