Conquer Surface Areas & Volumes with Our MCQ Mock Test!

Want to nail Surface Areas & Volumes? Get exam-ready with our Class 10 Maths Chapter – Surface Areas & Volumes MCQ Mock Test!

This test covers all essential topics — from surface area of solids (cubes, cylinders, cones, spheres, etc.) to volume formulas, and solving combined solid / composite shapes questions. Each MCQ is designed to sharpen your calculation skills, boost your spatial reasoning, and mirror the style of board-exam problems.

What You’ll Get:

  • A wide variety of MCQs on different solids and combined shapes.
  • Step-by-step explanations so you understand the reasoning behind each answer.
  • Instant scoring & analysis to help you see which topics need more practice.
  • Practice that enhances both your speed and accuracy, just like in exams.

Why Attempt This Test?
Because understanding Surface Areas & Volumes is key for scoring well in geometry & 3-D questions. Regular practice ensures you can tackle tricky volume / surface area problems with confidence.

Attempt the test now and ace Surface Areas & Volumes!

1. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct answer out of the following choices.

Assertion (A): The curved surface area of a cone of base radius 6 cm and slant height 10 cm is 60π cm2.
Reason (R): Curved surface area of a cone = πr2h, where r be the radius and h be the height of cone.

 
 
 
 

2. The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

 
 
 
 

3. Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is

 
 
 
 

4. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of cube is

 
 
 
 

5. How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3?

 
 
 
 

6. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct answer out of the following choices.

Assertion (A): If the volume of a hall, which is 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m3, then breadth of the hall is 25 cm.
Reason (R): The total surface area of a cuboid of length (l), breadth (b) and height (h) is 2(lb + bh + hl).

 
 
 
 

7. A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter

 
 
 
 

8. A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km per hour. The amount of water that runs into the sea per minute (in cubic metres) is

 
 
 
 

9. Match the column :

 
 
 
 

10. In a right circular cone, the cross-section made by a plane parallel to the base is a

 
 
 
 

11. A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by

 
 
 
 

12. Match the column:

 
 
 
 

13. A surahi is the combination of

 
 
 
 

14. A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?

 
 
 
 

15. In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is

 
 
 
 

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