Volume and Surface Area Questions with Answers
Volume and Surface Area Questions and Answers
Q.11 A gold bar in the shape of a rectangular solid, 36 cm long, 9 cm broad and 6 cm high, is to be melted and cast into two different cubes, the volume the bigger being eight times that of the smaller. The surface is of the smaller cube, in cm² is….
(A) 36
(B) 216
(C) 72
(D) 144
Ans . B
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Q.12 If base diameter and the height of a right circular cone are each increased by 100%, then the volume of the will increase by….
(A) 100%
(B) 200%
(C) 400%
(D) 700%
Ans . D
Q.13 If a solid metal cylinder of radius 4 cm and height 10 cm, is melted to make solid balls of radius 1 mm, then number of such balls produced (in lakhs) will be.
(A) 0.8 lakh
(B) 1.0 lakh
(C) 1.2 lakh
(D) 1.4 lakh
Ans . C
Q.14 If a rectangular paper of length 30 cm and width 12 cm is rolled to from a cylinder with height equal to width of the paper, then its base radius will be…
(A) 18/π
(B) 15/ π cm
(C) 15/2 π cm
(D) 9/2 π cm
Ans . B
Q.15 If diameter of the base of right circular cylinder is r and its height is equal to radius of base, then its volume is….
(A) 1/8 πr²
(B) πr³
(C) 2πr³
(D) 4πr³
Ans . A
Q.16 If numerical value of the curved surface area of a right circular cylinder is equal to numerical value of its volume, then numerical value of the radius of the base of the cylinder is….
(A) 4
(B) 3
(C) 2
(D) 1
Ans . D
Q.17 If edges of a cuboid are 3 cm, 4 cm and 12 cm, then length of its diagonal will be.
(A) Ö5 cm
(B) Ö19 cm
(C) 12 cm
(D) 13 cm
Ans . D
Q.18 The area of a rhombus with side 50 dm and one of the diagonals 80 dm, is…
(A) 1600 dm²
(B) 500 dm²
(C) 1200 dm²
(D) 2500 dm²
Ans . C
Q.19 If side of a square is 4 m, then area of the square in m² drawn on its diagonal is….
(A) 16
(B) 32
(C) 16Ö2
(D) 32Ö2
Ans . B
Q.20Volume of a right circular cylinder and the volume of a sphere (whose radius is same as that of cylinder) are equal. If the height of the cylinder is….
(A) 4/5 times of its radius
(B) 4/3 times if its radius
(C) equal to its radius
(D) equal to its diameter
Ans . B
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Volume and Surface Area Questions and Answers
Q.21 If a spherical lead of radius 20 cm is melted and small lead balls of radius 2 cm are made, then the total number of possible small lead balls is….
(A) 8000
(B) 800
(C) 80
(D) 100
Ans . D
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Q.22 The number of rounds that a wheel of diameter 7 m will make in going 4.4 km is….
(A) 1000
(B) 800
(C) 2000
(D) 100
Ans . D
Q.23 A plot of land is the shape of a right angled isosceles triangle. Length of the hypotenuse side is 50Ö2 and cost of the fencing is Rs. 3 per meter. The cost of fencing the plot will be.
(A) Rs. 381
(B) Rs. 341
(C) Rs. 391
(D) Rs. 371
Ans . B
Q.24 A 10 m wide lawn is cultivated all along the outside of a rectangular plot measuring 100 m x 50 m. The total area of the lawn is….
(A) 750 m²
(B) 5000 m²
(C) 2800 m²
(D) 2400 m²
Ans . D
Q.25 A circle and square have same area. Therefore, ratio of the side of the square and radius of the circle is….
(A) Öπ: 1
(B) 1: Öπ
(C) 1: π
(D) π: 1
Ans . A
Q.26 A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of the two solids will be…
(A) 386 cm²
(B) 286 cm²
(C) 276 cm²
(D) 376 cm²
Ans . B
Q.27 If a right cylinder and a right circular cone have the same radius and same volume, then ratio of height of the cylinder to that of the cone is….
(A) 3: 2
(B) 2: 3
(C) 3: 1
(D) 1: 3
Ans . D
Q.28 A reservoir is in the shape of a frustum of a right circular cone. It is 8 cm across at the top and 4 cm across at the bottom. It is 6 cm deep. Its capacity is.
(A) 176 m³
(B) 186 m³
(C) 88 m³
(D) 93 m³
Ans . A
Q.29 The dimensions of the floor of a rectangular hall are 60 m x 50 m. The floor of this hall is to be titled fully with 20 cm x 10 cm rectangular tiles without breaking them to smaller size. The number of tiles required is…
(A) 100000
(B) 160000
(C) 150000
(D) 50000
Ans . C
Q.30 Length of the longest rod that can be placed in a room 30 m long, 25 m broad and 18 m high is….
(A) 30 m
(B) 15 Ö2
(C) 60 m
(D) 30 Ö2 m
Ans . D
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