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IB ACIO Mensuration — practice questions

Explore 25 free Mensuration questions in IB ACIO 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 1–25 of 25.

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

Surface area or volume?

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Items
  1. Item
    Sum of the areas of the faces
    Category
    Surface area
  2. Item
    How much paint covers it
    Category
    Surface area
  3. Item
    Measured in square units
    Category
    Surface area
  4. Item
    Amount of region occupied
    Category
    Volume
  5. Item
    How much water it holds
    Category
    Volume
  6. Item
    Measured in cubic units
    Category
    Volume
Categories
  1. Item
    Surface area
  2. Item
    Volume
Surface area is the sum of the areas of the faces volume is the amount of region the solid occupies. Same solid, different question. Source: syllabus Maths, Ch 9 Mensuration.

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Match each solid to its surface area

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Matching pairs
  1. Left
    Cuboid
    Right
    2(lb + bh + hl)
  2. Left
    Cube
    Right
    6l²
  3. Left
    Cylinder
    Right
    2πr(r + h)
  4. Left
    Surface area
    Right
    the sum of the areas of the faces
The three surface-area formulae the chapter states. Source: syllabus Maths, Ch 9 Mensuration.

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Match each solid to its volume

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Matching pairs
  1. Left
    Cuboid
    Right
    l × b × h
  2. Left
    Cube
    Right
    l³
  3. Left
    Cylinder
    Right
    πr²h
  4. Left
    Volume
    Right
    the region a solid occupies
The three volume formulae the chapter states. Source: syllabus Maths, Ch 9 Mensuration.

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