CBSE Class 9 Maths Surface Areas and Volumes MCQs Set A

Question: Each side of a cube is increased by 50%. Then the surface area of the cube increases by
a) 50%
b) 100%
c) 150%
d) 125%

Answer: 50%

Question: Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is
a) 3/4
b) 2/3
c) 1/2
d) 1/4

Answer: 3/4

Question: The number of surfaces in right circular cylinder is
a) 4
b) 2
c) 1
d) 3

Answer: 4

Question: A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm. Find the volume of the wood.
a) 82,125 cu cm
b) 85,000 cu cm
c) 84,000 cu cm
d) 80,000 cu cm

Answer: 82,125 cu cm

Question: The edge of a cube is 20 cm. How many small cubes of 5 cm edge can be formed from this cube?
a) 64
b) 4
c) 32
d) 100

Answer: 64

Question: A metallic right circular cone of height 9 cm and base radius 7 cm is melted into a cuboid whose two sides are 11 cm and 6 cm. What is the third side of the cuboid?
a) 7 cm
b) 5 cm
c) 6 cm
d) 10 cm

Answer: 7 cm

Question: The slant height of a cone is increased by P%. If radius remains same, the curved surface area is increased by
a) P%
b) 2P%
c) P²%
d) None of these

Answer: P%

Question: The dimensions of a hall are 40 m, 25 m and 20 m. if each person requires 200 cubic metre, then the number of persons who can be accommodated in the hall are
a) 100
b) 150
c) 120
d) 140

Answer: 100

Question: A hollow spherical ball whose inner radius is 4 cm is full of water. Half of the water is transferred to a conical cup and it completely filled the cup. If the height of the cup is 2 cm, then the radius of the base of cone, in cm is
a) 8
b) 4
c) 16
d) 12

Answer: 8

Question: The radius of the cylinder whose lateral surface area is 704 cm² and height 8 cm is
a) 14 cm
b) 4 cm
c) 6 cm
d) 8 cm

Answer: 14 cm

Question: The radius of cylinder is doubled but its lateral surface area is unchanged. Then its height must be
a) halved
b) constant
c) doubled
d) tribled

Answer: halved

Question: The ratio of the volume and surface area of a sphere of unit radius
a) 1 : 3
b) 4 : 3
c) 3 : 4
d) 3 : 1

Answer: 1 : 3

Question: A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
a) 6
b) 4
c) 3
d) 8

Answer: 6

Question: A sphere and a cube are of the same height. The ratio of their volume is
a) 11 : 21
b) 21 : 11
c) 3 : 4
d) 4 : 3

Answer: 11 : 21

Question. The surface area of a cuboid is
(a) 2(lb + bh + lh)
(b) 3(lb + bh + lh)
(c) 2(lb – bh – lh)
(d) 3(lb – bh – lh)

Question. The surface area of a cube if edge ‘a’ is
(a) 7a²
(b) 6a²
(c) 5a³
(d) 5a²

Question. The length, breadth and height of a room is 5m, 4m and 3m. The cost of white washing its four walls at the rate of Rs. 7.50 per m² is
(a) Rs. 110
(b) Rs. 109
(c) Rs. 220
(d) Rs. 105

Question. The perimeter of floor of rectangular hall is 250m. The cost of the white washing its four walls is Rs. 15000. The height of the room is
(a) 5m
(b) 4m
(c) 6m
(d) 8m

Question. The breadth of a room is twice its height and is half of its length. The volume of room is 512dm³. Its dimensions are
(a) 16 dm, 8 dm, 4 dm
(b) 12 dm, 8 dm, 2 dm
(c) 8 dm, 4 dm, 2 dm
(d) 10 dm, 15 dm, 20 dm

Question. The area of three adjacent faces of a cube is x, y and z. Its volume V is
(a) V = xyz
(b) V³ = xyz
(c) V² = xyz
(d) none of these

Question. Two cubes each of edge 12 cm are joined. The surface area of new cuboid is
(a) 140 cm²
(b) 1440 cm²  
(c) 144 cm² 
(d) 72 cm² 

Question. The curved surface area of cylinder of height ‘h’ and base radius ‘r’ is
(a) 2∏rh
(b) ∏rh
(c) 1/2∏rh
(d) none of these

Question. The total surface area of cylinder of base radius ‘r’ and height ‘h’ is
(a) 2π(r + h)
(b) 2πr(r + h)
(c) 3πr(r + h)
(d) 4πr(r + h)

Question. The curved surface area of a cylinder of height 14 cm is 88 cm². The diameter of its circular base is
(a) 5cm
(b) 4cm
(c) 3cm
(d) 2cm

Question. It is required to make a closed cylindrical tank of height 1 m and base diameter 140cm from a metal sheet. How many square meters a sheet are required for the same?
(a) 6.45m²
(b) 6.48m²
(c) 7.48m²
(d) 5.48m².

Question. A metal pipe is 77 cm long. Inner diameter of cross section is 4 cm and outer diameter is 4.4 cm. Its inner curved surface area is:
(a) 864 cm²
(b) 968 cm²
(c) 768 cm²
(d) none of these

Question: Vertical and horizontal cross-sections of a right circular cylinder are always respectively

Question. A joker’s cap is in the form of cone of base radius 7 cm and height 24 cm. The area of sheet to make 10 such caps is
(a) 5500 cm²
(b) 6500 cm²
(c) 8500 cm²
(d) 3500 cm²

Question. The curved surface area of a hemisphere of radius ‘r’ is
(a) 2∏r²
(b) 4∏r²
(c) 3∏r²
(d) 5∏r²

Question. The total surface area of a hemisphere of radius ‘r’ is
(a) 2∏r²
(b) 4∏r²
(c) 3∏r²
(d) 5∏r²

Question. The curved surface area of a sphere of radius 7 cm is:
(a) 516 cm²
(b) 616 cm²
(c) 716 cm²
(d) 880 cm²

Question. The curved surface area of a hemisphere of radius 21 cm is:
(a) 2772 cm²
(b) 2564 cm²
(c) 3772 cm²
(d) 4772 cm²

Question. The curved surface area of a sphere of radius 14 cm is:
(a) 2464 cm²
(b) 2428 cm²
(c) 2464 cm²
(d) none of these.

Question. The curved surface area of a sphere of diameter 14 cm is:
(a) 516 cm²
(b) 616 cm²
(c) 716 cm²
(d) 880 cm²

Question. Total surface area of hemisphere of radius 10 cm is
(a) 942 cm²
(b) 940 cm²
(c) 842 cm²
(d) 840 cm²

Question. The radius of a spherical balloon increases from 7 cm to 14 cm s air is being pumped into it. The ratio of surface area of the balloon in the two cases is:
(a) 4 : 1
(b) 1 : 4
(c) 3 : 1
(d) 1 : 3

Question. A matchbox measures 4 cm x 2.5 cm x 1.5 cm. The volume of packet containing 12 such boxes is:
(a) 160 cm³
(b) 180 cm³
(c) 160 cm²
(d) 180 cm²

Question. A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litre of water can it hold?
(a) 1350 liters
(b) 13500 liters
(c) 135000 liters
(d) 135 liters

Question. A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
(a) 4.75 m
(b) 7.85 m
(c) 4.75 cm
(d) none of these

Question. The capacity of a cuboidal tank is 50000 litres. The length and depth are respectively 2.5 m and 10 m. Its breadth is
(a) 4 m
(b) 3 m
(c) 2 m
(d) 5 m

Question. A godown measures 40 m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.
(a) 18000
(b) 16000
(c) 15000
(d) 14000