#Class 9 #MCQ #Chapter_13 #surface_area_and_volume

Maths Learning Centre, Jalandhar
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Lectures
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https://www.youtube.com/@MathematicsOnlineLectures Class IX: Surface Areas and Volumes Mathematics
MULTIPLE CHOICE QUESTIONS
1. Find the surface area of a chalk box whose length, breadth and height are 16 cm, 8 cm and 6 cm,
respectively.
(A) 344 cm2
(B) 144 cm2
(C) 544 cm2
(D) 324 cm2
2. Find the surface area of a cube whose edge is 11 cm.
(A) 121 cm2
(B) 726 cm2
(C) 66 cm2
(D) 396 cm2
3. The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 m2
. Find the
dimensions.
(A) 2m, 4m and 6m (B) 3m, 4m and 12m (C) 6m, 8m and 18m (D) 3m, 6m and 9m
4. A swimming pool is 20 m in length, 15 m in breadth, and 4 m in depth. Find the cost of cementing its
floor and walls at the rate of `12 per square metre.
(A) `1560 (B) `6960 (C) `5260 (D) `3960
5. The floor of a rectangle hall has a perimeter of 250 m. Its height is 6 m. Find the cost of painting its
four walls (including doors, etc.) at the rate of Rs. 6 per square metre.
(A) `9000 (B) `8000 (C) `7000 (D) `4500
6. The ratio between the curved surface area and the total surface area of the right circular cylinder
is 1 : 2. Find the ratio between the height and radius of the cylinder.
(A) 1 : 4 (B) 3 : 1 (C) 2 : 1 (D) 1 : 1
7. The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4.
Calculate the ratio of their curved surface areas.
(A) 3 : 4 (B) 5 : 6 (C) 1 : 2 (D) 5 : 8
8. The diameter of a garden roller is 1 . 4 m and it is 2 m long. How much area will it cover in 5
revolutions? (Use  = 22/7).
(A) 22 m2
(B) 56 m2
(C) 34 m2
(D) 44 m2
9. How many bricks will be required to construct a wall 13.5 m long, 6 m high and 22.5 cm thick if each
brick measures (27 cm × 12.5 cm × 9 cm)?
(A) 2000 (B) 6000 (C) 5000 (D) 4500
10. The total surface area of a cube is 216 cm2
. Find its volume.
(A) 216 cm3
(B) 36 cm3
(C) 64 cm3
(D) 256 cm3
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11. A solid sphere of radius 3 cm is melted and recast into small spherical balls each of diameter 0.6 cm.
Find the number of ball thus obtained.
(A) 2000 (B) 1000 (C) 4000 (D) 3500
12. How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm,
each bullet being 4 cm in diameter?
(A) 1221 (B) 1351 (C) 1441 (D) 2541
13. Lateral surface area of a cuboid with dimensions l, b, h is
(A) 2 (lb + bh + lh) - 2lb (B) 2 (lb + bh + lh)
(C) lbh (D) None of these
14. A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in the
cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the
bowl?
(A) 24 (B) 36 (C) 72 (D) 96
15. Find the surface area of a sphere whose volume is 4851 cm3
.
(A) 1144 cm2
(B) 1236 cm2
(C) 3244 cm2
(D) 1386 cm2
16. Diameter of the earth is four times (approximately) the diameter of the moon then the ratio of their
surface areas is
(A) 4 : 1 (B) 8 : 1 (C) 16 : 1 (D) 2 : 1
17. A solid cylinder has a total surface area 462 sq. cm. Its curved surface area is one third of the total
surface area. Volume of the cylinder is
(A) 519 cm3
(B) 529 cm3
(C) 539 cm3
(D) 549 cm3
18. The rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is volume of
the cylinder is
(A) 2762 cm3
(B) 2772 cm3
(C) 2672 cm3
(D) 2627 cm3
19. The sum of the radius of the base and height of a solid cylinder is 37 cm. If the total surface area of
the solid cylinder is 1628 cm2
. The volume of the cylinder is (use  = 22/7).
(A) 4600 cm3
(C) 4640 cm3
(B) 4620 cm3
(D) none of these
20. If the radius of the base of right circular cylinder is halved, keeping the height same, what is the ratio
of the volume of the reduced cylinder to that of the original.
(A) 1 : 2 (B) 1 : 3 (C) 1 : 4 (D) 1 : 8

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MATRIX MATCHING
This section contains Matrix-Match Type questions. Each question contains statements given in two
columns which have to be matched. Statements (A, B, C, D) in Column–I have to be matched with
statements (p, q, r, s) in Column–II.
21. Column II give formula for the geometries given in column I, match them correctly.
Column I Column II
(A) Curved surface area of cylinder (p) 4r2
(B) Curved surface area of cone (q) 3 r2
(C) Surface area of sphere (r)  rl
(D) Total surface area of hemisphere (s) 2 rh
(A) (A-r), (B-p), (C-q), (D-s) (B) (A-r), (B-q), (C-s), (D-p)
(C) (A-s), (B-r), (C-p), (D-q) (D) (A-p), (B-q), (C-r), (D-s)
22. Column II give formula for the geometries given in column I, match them correctly.
Column I Column II
(A) Volume of cube (p) 2/3 r3
(B) Volume of cylinder (q) 1/3 r2
h
(C) Volume of cone (r) a3
(D) Volume of hemisphere (s) r2
h
(A) (A-p), (B-q), (C-r), (D-s) (B) (A-p), (B-s), (C-r), (D-q)
(C) (A-q), (B-r), (C-p), (D-s) (D) (A-r), (B-s), (C-q), (D-p)
INTEGER TYPE QUESTIONS
The answer to each of the questions is a single-digit integer, ranging from 0 to 9.
23. Number of surface of the same area in the cuboid are
24. Number of surfaces of the same area in a cube are
25. Height of a cone is 4 3 cm and base diameter is 2 cm, then the slant height of the cone is
26. The radius of the base and the slant height of a cone is 3 cm and 5 cm respectively. The height
of the cone is
27. Three cubes of sides 3 cm, 4 cm and 5 cm respectively are melted and formed into a larger cube.
What is the side of the cube formed.

#Class 9 #MCQ #Chapter_13 #surface_area_and_volume

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#Class 9 #MCQ #Chapter_13 #surface_area_and_volume