CBSE Class 10 Mathematics Surface Areas and Volumes MCQs Set 02

Question. What is the maximum distance between any two points of a cube of side T units?
(a) (√2 +1) l units
(b) √2 l units
(c) √3 l units
(d) √2 l units

Answer: C

Question. A cuboidal metal of dimensions 44 cm X 30 cm X 15 cm was melted and cast into a cylinder of height 28 cm. Find its radius.
(a) 20cm
(b) 15cm
(c) 10cm
(d) 18cm

Answer: B

Question. A cylindrical vessel contains 49.896 litres of liquid. The cost of painting its curved surface area at paise/sq cm² is ₹ 95.04. Find its total surface area.
(a) 5724 cm²
(b) 7524 cm²
(c) 5742 cm²
(d) 7254 cm²

Answer: B

Question. A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, what is the rise in the level of water?
(a) 0.8 cm
(b) 0.5 cm
(c) 0.1 cm
(d) 0.3 cm

Answer: B

Question. A cuboidal metal of dimensions 44 cmx30 cm x15 cm was melted and cast into a cylinder of height 28 cm. Find its radius.
(a) 20cm
(b) 15cm
(c) 10cm
(d) 18cm

Answer: B

Question. A circus tent is in the form of a cone over a cylinder. The diameter of the base is 9 m, the height of cylindrical part is 4.8 m and the total height of the tent is 10.8m. What area of canvas is required for the tent?
(a) 24.184 sq. m
(b) 2418.4 sq. m
(c) 241.84sq.rn
(d) 24.164 sq. m

Answer: C

Question. The total surface area of a cylinder is 220 sq cm with height 6.5 cm. Find its volume.
(a) 25.025 cm³
(b) 2.5025 cm³
(c) 2502.5 cm³
(d) 250.25 cm³

Answer: D

Question. Rain water from a roof 22 m x 20 m drains into a cylindrical vessel with diameter of base 2 m and height 3.5 m. If the vessel is just full, find the amount of rainfall in cm.
(a) 4.5 cm
(b) 2.5 cm
(c) 3 cm
(d) 1 cm

Answer: B

Question. A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
(a) 14 cm
(b) 12 cm
(c) 16 cm
(d) 18 cm

Answer: A

Question. A cylindrical can whose base is horizontal and of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed in the can, water just covers the sphere. Given that the sphere just fits in the can, find the depth of water in the can before the sphere was put into it.
(a) 2.3 cm
(b) 5.1 cm
(c) 1.5 cm
(d) 3.2 cm

Answer: A

Question. Identify the ratio of lateral surface areas of two cylinders with equal heights.
(a) H: h
(b) R: r
(c) 1: 2
(d) 2 : 3

Answer: B

Question. A rectangular solid metallic cuboid 9 cm x⁸ cm x² cm is melted and recast into solid cubes each of side 2 cm. How many such solid cubes can be made?
(a) 20
(b) 18
(c) 12
(d) 15

Answer: B

One Word Questions :

Question. Five equal cubes, each of side 6cm, are joined end to end. Find the surface area of the resulting cuboid.
Answer: 792m²

Question. There are two cones. The lateral surface area of one cone is twice the lateral surface area of second cone. The slant height of second cone is twice the slant height of first cone, find the ratio of their radii.
Answer: 4 : 1

Question. If volume of a solid sphere is 288π cm³ , find its radius.
Answer: 6cm

Question. Volume of a cube is 1000cm³ . What will be the length of its edge?
Answer: 10cm

Question. What will be the volume of tank whose length is 10m, breadth 8m and height 6m?
Answer: 480m³

Question. A cone of height 4cm and radius 8cm is reshaped by a child to form a sphere. Find the radius of the sphere.
Answer: 4cm

Question. The length of a diagonal of a cube is 17.32cm. Find the volume of cube. (use √3 = 1.732)
Answer: 1000 cm³

Question. If the volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5 , what would be the ratio of their heights?
Answer: 25 : 64

Question. How much aluminium sheet is required to make a box with lid of length 3m, breadth 2m and height 4m?
Answer: 52m²

Question. An underground water tank is in the form of cube of side 6m. What will be its volume?
Answer: 216m³

Question. The volume of a 8cm x 4cm x 2cm cylinderical rod is 980 cm³ . If its height is 20cm, find the radius of its cross section.
Answer: 7cm

Question. A largest sphere is carved out of a cube of side 7cm; find the radius.
Answer: 3.5cm