Surface areas and Volumes MCQs CBSE lX

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1. How many cubic meters of earth must be dug out to make a well 28 m deep and 2.8 m in diameter?

2 points

278.34 cubic meters

172.48 cubic meters

49 cubic meters

150.08 cubic meters

Clear selection

2. A metal pipe has a bore (inner diameter) of 5 cm. The pipe is 5 mm thick all round. Find the weight, in kilogram, of 2 metres of the pipe if 1 cm³ of the metal weights 7.7 g.

2 points

12.31 kg

14.31 kg

19.31 kg

13.31 kg

Clear selection

3. Find the volume of a cone whose slant height is 17 cm and radius of base is 8 cm.

2 points

2000.71 cm³

1005.71 cm³

893.71 cm³

1123.31 cm³

Clear selection

4. Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m in diameter and 7 m in height. Given that 10% of the canvas is used in folds and stitching. Also, find the cost of the canvas at the rate of Rs. 24 per meter.

2 points

Rs 33188.40

Rs 11500

Rs 23845.50

Rs 35678.30

Clear selection

5. The lateral surface area of a cube is 256 m², its volume is

2 points

512 m³

216 m³

64 m³

256 m³

Clear selection

6. The number of planks of dimensions (4 m x 50cm x 20cm) that can be stored in a pit which is 16 m long, 12 m wide and 40 m deep is

2 points

1900

1920

1800

1840

Clear selection

7. The length of the longest pole that can be put in a room of dimensions (10m x 10m x 5m) is

2 points

15 m

16m

10 m

12 m

Clear selection

8. 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

2 points

1:4

1:3

2:3

2:1

Clear selection

9. An ice-cream cone full of ice-cream having radius 5 cm and height 10 cm as shown in figure. Calculate the volume of ice-cream, provided that its 1/6 part is left unfilled with ice-cream.

2 points

314 cm³

240 cm³

431.3 cm³

327.4 cm³

Clear selection

10. In a cylinder, radius is doubled and height is halved, then curved surface area will be

2 points

halved

doubled

same

four times

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