volumes MCQs – Page 2

Practise focused volumes questions with marked answers for exam preparation and subject revision.

volumes Mcqs

21. A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
0

A. 22000

B. 23000

C. 24000

D. 25000

22. The radius of a wire is decreased to one third if volume remains the same length will increase
0

A. 3 times

B. 1 Time

C. 6 times

D. 9 times

23. The length of the longest rod that can fit in a cubical room of 4 m side is?
0

A. 5.196 m

B. 8.66 m

C. 6.928 m

D. 7.264 m

24. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
0

A. 9:16

B. 1:8

C. 4:03

D. 3:04

25. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?
0

A. 10000 cu.m

B. 2000 cu.m

C. 100 cu.m

D. 1000 cu.m

26. The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?
0

A. 3:08

B. 0.419444444

C. 9:32

D. 9:16

27. A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?
0

A. 300 cm<sup>2</sup>

B. 296 cm<sup>2</sup>

C. 286 cm2

D. 284 cm<sup>2</sup>

28. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
0

A. 344.35 cm2

B. None of these

C. 344.35 cm2

D. 344.35 cm2

29. Find the ratio between whole surfaces of a sphere and a hemisphere?
0

A. 3:01

B. 4:3

C. 3:04

D. 1:03

30. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
0

A. 48 ? cm2

B. 24 ? cm<sup>2</sup>

C. 36 ? cm<sup>2</sup>

D. 74 ? cm<sup>2</sup>

31. The area of a base of a cone is 30 cm<sup>2
0

A. 50 cm<sup>3</sup>

B. 40 cm<sup>3</sup>

C. 120 cm<sup>3</sup>

D. 60 cm3

32. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is________?
0

A. 4:04

B. 6: ?

C. 4:03

D. 4:02

33. Find the length of the wire required to go 15 times round a square field containing 69696 m<sup>2
0

A. 15820 m

B. 15640 m

C. 15840 m

D. 16840 m

34. 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________?
0

A. 4h

B. 2h/3

C. 3h/2

D. 2h

35. 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?
0

A. 3:02

B. 2:01

C. 25 : 18

D. 27:20:00

36. The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
0

A. 1:8

B. 1:16

C. 1:04

D. 0.086111111

37. Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.
0

A. 1:2

B. 4:01

C. 1:04

D. 2:01

38. The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
0

A. 5 cm

B. 13 cm

C. 144 cm

D. 19 cm

39. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
0

A. 440 sq cm

B. 132 sq cm

C. 220 sq cm

D. 308 sq cm

40. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
0

A. 12:01

B. 8:01

C. 3:01

D. 9:1

Showing 21 to 40 of 71 mcqs