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CBSE Class 9 Surface Areas and Volumes MCQ New

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CBSE Class 9 Surface Areas and Volumes MCQ

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Question 1.
If the perimeter of one of the faces of a cube is 40 cm, then its volume is:
(a) 6000 cm³
(b) 1600 cm³
(c) 1000 cm³
(d) 600 cm³


Question 2.
A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:
(a) 3abc−−−√
(b) abc−−−√
(c) abc
(d) (abc)²Answer


Question 3.
The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is
(a) 1 : 2
(b) 3 : 1
(c) 4 : 1
(d) 1 : 8Answer


Question 4.
Length of diagonals of a cube of side a cm is
(a) √2a cm
(b) √3a cm
(c) 3a−−√ cm
(d) 1 cmAnswer


Question 5.
Volume of spherical shell is
(a) 23 πr³
(b) 34 πr³
(c) 43 π(R³ – r³)
(d) None of these


Question 6.
Volume of hollow cylinder
(a) π(R² – r²)h
(b) πR²h
(c) πr²h
(d) πr²(h1 – h1)


Question 7.
The radius of a sphere is 2r, then its volume will be
(a) 43 πr³
(b) 4πr³
(c) 83 πr³
(d) 323 πr³


Question 8.
In a cylinder, radius is doubled and height is halved, curved surface area will be
(a) halved
(b) doubled
(c) same
(d) four time


Question 9.
The total surface area of a cone whose radius is r2 and slant height 2l is
(a) 2πr(l + r)
(b) πr(l + r4)
(c) πr(l + r)
(d) 2πrl


Question 10.
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is
(a) 1 : 4
(b) 1 : 3
(c) 2 : 3
(d) 2 : 1


Question 11.
The length of the longest pole that can be put in a room of dimension (10 m × 10 m × 5 m) is
(a) 15 m
(b) 16 m
(c) 10 m
(d) 12 mAnswer


Question 12.
The lateral surface area of a cube is 256 m³. The volume of the cube is
(a) 512 m³
(b) 64 m³
(c) 216 m³
(d) 256 m³


Question 13.
The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is
(a) 10 : 17
(b) 20 : 27
(c) 17 : 27
(d) 20 : 37


Question 14.
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is
(a) 4.2 cm
(b) 2.1 cm
(c) 2.4 cm
(d) 1.6 cm


Question 15.
The total surface area of a cube is 96 cm². The volume of the cube is
(a) 8 cm³
(b) 512 cm³
(c) 64 cm³
(d) 27 cm³

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