Volume and Surface Area of Solid Figures

Volume and Surface Area of Solid Figures

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Volume and Surface Area of Solid Figures Tutorial

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Aptitude miscellaneous
  1. The length of the longest pole that can be placed in a room 12 m long and 9 m wide and 8 m high is ?








  1. View Hint View Answer Discuss in Forum

    Length of longer rod = √l2 + b2 + h2
    = √122 + 92 + 82

    Correct Option: C

    Length of longer rod = √l2 + b2 + h2
    = √122 + 92 + 82
    = √144 + 81 + 64
    = √289
    = 17 m

  1. Find the height of the cylinder whose volume is 551 m3 and the area of the base is 36.5 m2. ?








  1. View Hint View Answer Discuss in Forum

    Volume of cylinder = πr2= Area base x height

    Correct Option: C

    Volume of cylinder = πr2= Area base x height
    551 = 36.5 x h
    h = 511/365 = 14 m

  1. What is the maximum number of pieces of 5cm x 5cm x 10 cm of cake that can be cut from a big cake of 5 cm x 30 cm x 30 cm size ?








  1. View Hint View Answer Discuss in Forum

    Maximum number of pieces that can be cut out
    = (Volume of cake) / (Volume of Each piece of cake)

    Correct Option: C

    Maximum number of pieces that can be cut out
    = (Volume of cake) / (Volume of Each piece of cake)
    = (5 x 30 x 30)/(5 x 5 x 10) = 18

  1. A box is of 10 cm long, 8 cm broad and 5 cm high. What is the longest possible length of a pencil that can be put in ?








  1. View Hint View Answer Discuss in Forum

    Since, the box is in the form of a cuboid.
    ∴ Required length = √102 +82 + 52 cm

    Correct Option: C

    Since, the box is in the form of a cuboid.
    ∴ Required length = √102 +82 + 52 cm
    = √189
    = √9 x 21
    = 3√21 cm

  1. If the volumes of two cubes are in the ratio 8 : 1, the ratio of their edges, is ?








  1. View Hint View Answer Discuss in Forum

    Volume of new cube = [(5)3 + (4)3 + (3)3] cm3

    Correct Option: A

    Volume of new cube = [(5)3 + (4)3 + (3)3] cm3
    = 216 cm3
    Edge of this cube = ( 6 x 6 x 6)1/3 = 6 cm