CBSE Class 9 Maths Surface Areas and Volumes MCQs Set B

More Questions..................

Question: Vertical and horizontal cross-sections of a right circular cylinder are always respectively

• a) rectangle, circle
• b) rectangle, ellipse
• c) square, circle
• d) rectangle, square

Answer: rectangle, circle

Question: A right cylindrical vessel is full with water. How many right cones having same diameter and height as of right cylinder will be needed to store that water?

• a) 3
• b) 2
• c) 4
• d) 5

Answer: 3

Question: The area of a trapezium is 28 cm² and one of its parallel sides 6 cm. If its altitude is 4 cm., then its other parallel side is

• a) 8 cm
• b) 6 cm
• c) 4 cm
• d) 9 cm

Answer: 8 cm

Question: The ratio of the areas of a square to that of a square drawn on its diagonal is

• a) 1 : 2
• b) 1 : 4
• c) 1 : 1
• d) 1 : 3

Answer: 1 : 2

Question: A man bought a rectangle plot of 144 m length and 64 m width. In exchange for this field he wanted to buy a square field of the same area. Then the side of the square field would be

• a) 96 m
• b) 104 m
• c) 208 m
• d) 406 m

Answer: 96 m

Question: A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between surface areas of two solids is

• a) 286 cm²
• b) 280 cm²
• c) 284 cm²
• d) None of these

Answer: 286 cm²

Question: Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted without any loss of metal into a single cube. The edge of new cube is

• a) 6 cm
• b) 9 cm
• c) 12 cm
• d) 10 cm

Answer: 6 cm

Question: If length, breadth and height of rectangular parallelopiped are in ratio 6 : 5 : 4 and total surface area\ is 33,300 m², then length breadth and height of parallelopiped are in (m)

• a) 90, 75, 60
• b) 90, 75 , 70
• c) 85, 75, 60
• d) 80, 70, 60

Answer: 90, 75, 60

Question: The radius of the cylinder whose lateral surface area is 704 cm²³ and height 8 cm, is

• a) 14 cm
• b) 4 cm
• c) 6 cm
• d) 8 cm

Answer: 14 cm

Question: A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. The volume of the wood, is

• a) 82,125 cu cm
• b) 85,000 cu cm
• c) 80,000 cu cm
• d) 84,000 cu cm

Answer: 82,125 cu cm

Question: A solid cube is chopped off at each of its 8 corners to create an equilateral triangle with 3 new corners. The 24 corners are now joined to each other by diagonals. How many of these diagonals completely lie inside the cube?

• a) 120
• b) 96
• c) 108
• d) 100

Answer: 120

Question: Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one to that of the other is

• a) 1 : 9
• b) 1 : 3
• c) 1 : 6
• d) 1 : 18

Answer: 1 : 9

Question: The surface areas of the six faces of a rectangular solid are 4, 4, 8, 8, 18 and 18 square centimetres. The volume of the solid, in cubic centimetres is

• a) 24
• b) 60
• c) 48
• d) 324

Answer: 24

Question: A rectangle field has its length and breadth in the ratio 5 : 3. Its area is 3.75 hectares. The cost of fencing it at Rs. 5 per meter is

• a) Rs. 4000
• b) Rs. 500
• c) Rs. 1000
• d) None of these

Answer: Rs. 4000