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CBSE Class 9  >  Class 9 Test  >  Mathematics Olympiad  >  Math Olympiad Test: Surface Area and Volume- 1 - Class 9 MCQ

Math Olympiad Test: Surface Area and Volume- 1 - Free MCQ with solutions


MCQ Practice Test & Solutions: Math Olympiad Test: Surface Area and Volume- 1 (10 Questions)

You can prepare effectively for Class 9 Mathematics Olympiad for Class 9 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Math Olympiad Test: Surface Area and Volume- 1". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Math Olympiad Test: Surface Area and Volume- 1 - Question 1
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The length of cold storage is double its breadth. Its height is 3 meters. If the area of four walls including doors is 108 m2, what is its volume? 

Detailed Solution: Question 1

Let l = 2b, h = 3m 
Area of four walls = 108 
2 (l + b) h = 108 
⇒ 2 (2b + b) 3 = 108 
⇒ 3b = 108/6 = 18
⇒ b = 18/3 = 6
∴ l = 2b = 2 × 6 = 12
∴ Volume of cold storage
= lbh = 12 × 6 × 3 = 216 m3

Math Olympiad Test: Surface Area and Volume- 1 - Question 2
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The paint in a certain container is sufficient to paint an area of 9.375 m2. How many bricks of dimension 22.5 cm × 10 cm × 7.5 cm can be painted out of this container? 

Detailed Solution: Question 2

No. of bricks

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Math Olympiad Test: Surface Area and Volume- 1 - Question 3
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A solid cube is cut into two cuboids of equal volumes. Find the ratio of total surface area of given cube and that of one cuboid.

Detailed Solution: Question 3

Volume of cuboid = a3/2 = Ibh
∴ Surface area of each cuboid
= 2 (lb + bh + lh) 

= 2 (2a2) = 4a2
Total surface area of cube = 6a2
∴ Required ratio = 6a2 : 4a2 = 3 : 2

Math Olympiad Test: Surface Area and Volume- 1 - Question 4
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The diameter of the roller 1.5 m long is 84 cm. If it takes 100 revolutions to level a playground, what is the cost of leveling the playground at the rate of 50 paise per square meter? 

Detailed Solution: Question 4

The curved surface area of the roller = 2πrh

= 44 × 150 × 6 
Area covered by roller in 100 revolutions 

Cost of leveling the playground

= ₹ 198

Math Olympiad Test: Surface Area and Volume- 1 - Question 5
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The volume of a cylinder is 448 π cm3 and height 7 cm. What is the lateral surface area of the cylinder? 

Detailed Solution: Question 5

Volume of the cylinder = 448π
⇒ πr2h = 448π
⇒ r2h = 448 

⇒ r = 8 cm
Lateral surface area = 2πrh

= 22 × 16 = 352 cm2

Math Olympiad Test: Surface Area and Volume- 1 - Question 6
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At a meal, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15cm filled up to a height of 32 cm with fruit juice. The juice is filled in small cylindrical glasses of radius 3cm up to a height of 8cm. how many glasses will be filled by selling the juice completely?

Detailed Solution: Question 6

Let the number of glasses be n
∴ Total volume in the vessel = volume of juice in glasses
⇒ πR2H = n × πr2h
⇒ R2H = nr2h
⇒ (15)2 × 32 = n × (3)2 × 8 
⇒ n = 5 × 5 × 4 = 100 

Math Olympiad Test: Surface Area and Volume- 1 - Question 7
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How many meters of cloth of 5 m width will be required to make a conical tent. The radius of whose base is 7 m and heights is 24 m?

Detailed Solution: Question 7


Curved surface = πrl = 22/7 × 7 × 25 = 550 m2
Length of canvas used

Math Olympiad Test: Surface Area and Volume- 1 - Question 8
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The diameter of the moon is approximately 1/4th of the diameter of the earth. What fraction of the volume of earth is the volume of the moon? 

Detailed Solution: Question 8

Let the diameter of the earth be x m
∴ Diameter of moon = x/4 m

Math Olympiad Test: Surface Area and Volume- 1 - Question 9
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Water flows in a tank 150 m × 100 m at the base through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. At what time will the water be 3 meters deep? 

Detailed Solution: Question 9

The volume of water in the tank
= 150 × 100 × 3 = 45000 m3
Area of a cross-section of the pipe
= 2dm × 1.5dm 

Let the time taken be t hours. 
The volume of water that flows in a tank in t hours.

= 450 t m3
⇒ 450t = 45000 
⇒ t = 45000/450 = 100 hours  

Math Olympiad Test: Surface Area and Volume- 1 - Question 10
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In a shower, 5cm of rainfalls. What is the volume of water that falls on 2 hectares of the ground? 

Detailed Solution: Question 10

Volume of water

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About this Class 9 Practice Test

This test contains 10 MCQs on Math Olympiad Test: Surface Area and Volume- 1 with detailed solutions for each question. It is part of the Mathematics Olympiad for Class 9 course on EduRev, designed to align with the current Class 9 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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