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Indian Air Force Agniveer Vayu Mensuration — practice questions — page 2

Explore 60 free Mensuration questions in Indian Air Force Agniveer Vayu Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Mensuration questions and exercises with answers

Showing questions 31–60 of 60.

The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the cuboid is:Read the answer and worked solution →A wheel travels a distance of 22 km in 2500 revolutions. What is the diameter of the wheel? (Take π = 22/7)Read the answer and worked solution →If the edge of a cube is halved, its volume reduces to how many times the original volume?Read the answer and worked solution →The surface areas of three faces of a cuboid sharing a common vertex are 25 m², 32 m² and 32 m². What is the volume of the cuboid?Read the answer and worked solution →One side of a rhombus is 37 cm and its area is 840 cm². Find the sum of the lengths of its diagonals.Read the answer and worked solution →Surface area or volume?Read the answer and worked solution →Match each solid to its surface areaRead the answer and worked solution →Match each solid to its volumeRead the answer and worked solution →Reading the formulae backRead the answer and worked solution →Square units or cubic units?Read the answer and worked solution →Complete the unit conversionsRead the answer and worked solution →Volume and capacity unitsRead the answer and worked solution →True or false: area and volumeRead the answer and worked solution →Order the steps: find the surface area of a cuboidRead the answer and worked solution →Order the steps: find how much a cylindrical tank holdsRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every situation that needs SURFACE AREARead the answer and worked solution →Flip and pair: solid with volume formulaRead the answer and worked solution →Complete the definitionsRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Which quantity is wanted?Read the answer and worked solution →True or false: unitsRead the answer and worked solution →Which letter does what?Read the answer and worked solution →Assertion and reason: units and formulaeRead the answer and worked solution →Tap every correct formulaRead the answer and worked solution →Order the steps: convert a tank's volume to litresRead the answer and worked solution →Two true, one false: units and conversionsRead the answer and worked solution →Faces of a solidRead the answer and worked solution →

Worked practice questions

The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the cuboid is:

  1. 48 cm³
  2. 24 cm³
  3. 64 cm³
  4. 120 cm³
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Correct answer: A. 48 cm³

1. Let edges be x, 2x, 3x. Surface area = 2(x·2x + 2x·3x + x·3x) = 2(11x²) = 22x². 2. Set 22x² = 88, so x² = 4 and x = 2. 3. Volume = x·2x·3x = 6x³ = 6×8 = 48 cm³. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.67._

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A wheel travels a distance of 22 km in 2500 revolutions. What is the diameter of the wheel? (Take π = 22/7)

  1. 2.8 m
  2. 1.4 m
  3. 5.6 m
  4. 3.5 m
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Correct answer: A. 2.8 m

1. Distance per revolution = total distance / revolutions = 22000 m / 2500 = 8.8 m. 2. This equals the circumference, so πd = 8.8, giving d = 8.8 × 7/22. 3. d = 61.6/22 = 2.8 m. _Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.99._

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If the edge of a cube is halved, its volume reduces to how many times the original volume?

  1. 1/3
  2. 1/4
  3. 1/8
  4. 1/2
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Correct answer: C. 1/8

1. Volume of a cube = (edge)^3. 2. Halving the edge gives volume = (edge/2)^3 = (edge)^3 / 8. 3. So the new volume is 1/8 of the original. _Source: RRB Group D CEN-02/2018 PYQ, Q.12._

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