Check the below NCERT MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Surface Areas and Volumes Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
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Surface Areas and Volumes Class 9 MCQs Questions with Answers
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
Answer
Answer: (c) 1000 cm³
Question 2.
A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:
(a) 3\(\sqrt{abc}\)
(b) \(\sqrt{abc}\)
(c) abc
(d) (abc)²
Answer
Answer: (b) \(\sqrt{abc}\)
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 : 8
Answer
Answer: (c) 4 : 1
Question 4.
Length of diagonals of a cube of side a cm is
(a) √2a cm
(b) √3a cm
(c) \(\sqrt{3a}\) cm
(d) 1 cm
Answer
Answer: (b) √3a cm
Question 5.
Volume of spherical shell is
(a) \(\frac{2}{3}\) πr³
(b) \(\frac{3}{4}\) πr³
(c) \(\frac{4}{3}\) π(R³ – r³)
(d) None of these
Answer
Answer: (c) \(\frac{4}{3}\) π(R³ – r³)
Question 6.
Volume of hollow cylinder
(a) π(R² – r²)h
(b) πR²h
(c) πr²h
(d) πr²(h1 – h1)
Answer
Answer: (a) π(R² – r²)h
Question 7.
The radius of a sphere is 2r, then its volume will be
(a) \(\frac{4}{3}\) πr³
(b) 4πr³
(c) \(\frac{8}{3}\) πr³
(d) \(\frac{32}{3}\) πr³
Answer
Answer: (d) \(\frac{32}{3}\) 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
Answer
Answer: (c) same
Question 9.
The total surface area of a cone whose radius is \(\frac{r}{2}\) and slant height 2l is
(a) 2πr(l + r)
(b) πr(l + \(\frac{r}{4}\))
(c) πr(l + r)
(d) 2πrl
Answer
Answer: (b) πr(l + \(\frac{r}{4}\))
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
Answer
Answer: (a) 1 : 4
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 m
Answer
Answer: (a) 15 m
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
Answer
Answer: (a) 512 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
Answer
Answer: (b) 20 : 27
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
Answer
Answer: (b) 2.1 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
Answer
Answer: (c) 64 cm³
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