Math: Surface Areas And Volume Practice Test!

15 Questions | By Jagranjosh | Updated: Mar 21, 2022 | Attempts: 2518

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Math: Surface Areas And Volume Practice Test! - Quiz

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1.

The number of 4 cm cubes which can be cut from solid cube whose edge is 32 cm, is:
- A.
  
  8
- B.
  
  64
- C.
  
  256
- D.
  
  512
2.

The region between an arc and two radii, joining the center to the end points of the arc is called:
- A.
  
  Sector
- B.
  
  Segment
- C.
  
  Semicircle
- D.
  
  None of the above
3.

If the lateral surface area of the cube is 1600 cm², then its edge is:
- A.
  
  15 cm
- B.
  
  18 cm
- C.
  
  20 cm
- D.
  
  25 cm
4.

Base area of a cylinder is 154 sq. cm. Its height is 5 cm. Then its volume is:
- A.
  
  308 cubic cm
- B.
  
  525 cubic cm
- C.
  
  600 cubic cm
- D.
  
  770 cubic cm
5.

Given a cuboid of dimensions l = 3. Cm, b = 2 cm and h = 2 cm. How many cubes of 1 cm side can be cut out of it?
- A.
  
  12
- B.
  
  6
- C.
  
  4
- D.
  
  3
6.

The curved surface area of a hemisphere is 77 cm². The radius of the hemisphere is:
- A.
  
  3.5 cm
- B.
  
  7 cm
- C.
  
  10.5 cm
- D.
  
  11 cm
7.

If the volume and surface area of a sphere are numerically equal, then its radius is:
- A.
  
  2 units
- B.
  
  3 units
- C.
  
  4 units
- D.
  
  5 units
8.

In a cylinder, radius is doubled and height is halved. The curved surface area will be:
- A.
  
  Halved
- B.
  
  Doubled
- C.
  
  Same
- D.
  
  Four times
9.

Curved surface area of hemisphere of diameter 2r is:
- A.
  
  2πr²
- B.
  
  3πr²
- C.
  
  4πr²
- D.
  
  8πr²
10.

The breadth of a room is twice its height and half its length and its volume is 1000 m³. Its dimensions are:
- A.
  
  20 m × 10 m × 5 m
- B.
  
  10 m × 10 m × 10 m
- C.
  
  420 m × 5 m × 5 m
- D.
  
  None of these
11.

Two circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is:
- A.
- B.
- C.
- D.
12.

The length of the longest pole that can be put in a room of dimensions 10 m × 10 m × 5 m.
- A.
  
  10 m
- B.
  
  12 m
- C.
  
  15 m
- D.
  
  16 m
13.

If the height of the cone is doubled, then its volume is increased by:
- A.
  
  100%
- B.
  
  200%
- C.
  
  300%
- D.
  
  400%
14.

A conical vessel whose internal dimensions is 105 cm deep and 120 cm in diameter is full of water. If a cubic decimeter of water weight 1kg 500g. The weight of water contained in the vessel:
- A.
  
  594 kg
- B.
  
  494 kg
- C.
  
  444 kg
- D.
  
  394 kg
15.

The internal and external diameters of a hollow hemispherical vessel are 24 cm and 25 cm respectively. The total area to be painted is:
- A.
- B.
- C.
- D.