CBSE Class 10 Mathematics Surface Area and Volume Assignment Set 06

Question. The edge of a cube is 6cm. The length of the longest rod that can be kept inside the cube has the length
(a) \( 6\sqrt{3}\text{ cm} \)
(b) \( 12\sqrt{3}\text{ cm} \)
(c) 96 cm
(d) 216 Cm
Answer: (a) \( 6\sqrt{3}\text{ cm} \)

Question. S.A of Cuboid = Area of four walls + x , the Value of x is
(a) \( lb \)
(b) \( 2lb \)
(c) \( lh \)
(d) \( 2lh \)
Answer: (b) \( 2lb \)

Question. If TSA of a cube and its volume are equal then the edge of the cube is
(a) 36 units
(b) 216 units
(c) 6 Units
(d) 24 units
Answer: (c) 6 Units

Question. Three equal cubes are placed adjacently in a row. Find the ratio of T.S.A of the new cuboid to that of the sum of the surface areas of the three cubes.
(a) 2:3
(b) 4:5
(c) 9:7
(d) 7:9
Answer: (d) 7:9

Question. The diagonal of a cube is \( \sqrt{27} \) Units, its edge is
(a) 3 Units
(b) 6 Units
(c) 9 Units
(d) \( 3\sqrt{3} \) Units
Answer: (a) 3 Units

Question. A Solid Cube of side 12cm is cut into eight cubes of equal volume. The side of new cube is
(a) 12 cm
(b) 6 cm
(c) 3 cm
(d) 9 cm
Answer: (b) 6 cm

Question. A Cuboidal vessel is 15m long 6m wide, how high must it be made to hold \( 360\text{ m}^3 \) of a liquid.
(a) 12 m
(b) 8 m
(c) 4 m
(d) 1 m
Answer: (c) 4 m

Question. Total S.A. of a hollow cylinder is
(a) \( 2\pi(R^2-r^2) \)
(b) \( 2\pi(R^2-r^2)+\pi h^2 \)
(c) \( 2\pi(r^2-R^2)+\pi r^2 \)
(d) \( 2\pi(R+r)(R-r+h) \)
Answer: (d) \( 2\pi(R+r)(R-r+h) \)

Question. The C.S.A of a cylinder is \( 660\text{ sq. cm.} \) If height of the cylinder is 15cm, its radius is
(a) 7 cm
(b) 8 cm
(c) 9 cm
(d) 12 cm
Answer: (a) 7 cm

Question. The C.S.A of a cylinder is \( 4400\text{ cm}^2 \) and the circumference of its base is 110cm. The height of the cylinder is
(a) 60 cm
(b) 40 cm
(c) 20 cm
(d) 80 cm
Answer: (b) 40 cm