Volume and Surface Area of Solid Figures

Volume and Surface Area of Solid Figures

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Aptitude miscellaneous
  1. If each side of a cube is decreased by 19%, then decrease in surface area is ?








  1. View Hint View Answer Discuss in Forum

    Here, x = y = -19%
    According to the formula,
    Percentage decrease in surface area
    = [x + y + xy/100]%

    Correct Option: D

    Here, x = y = -19%
    According to the formula,
    Percentage decrease in surface area
    = [x + y + xy/100]%
    = [- 19 - 19 + (-19) x (-19) /100]%
    =[-38 + 361/100]%
    = [-38 + 3.61]% = -34.39 %

  1. If the side of a cube is increased by 12%, by how much per cent does its volume increase ?








  1. View Hint View Answer Discuss in Forum

    Here, k = 12%
    According to the formula,
    Percentage increase in volume = [(1 + k/100)3 - 1] x 100%

    Correct Option: A

    Here, k = 12%
    According to the formula,
    Percentage increase in volume = [(1 + k/100)3 - 1] x 100%
    = [(1 + 12/100)3 - 1] x 100%
    = [(1.12)3 - 1] x 100%
    = 0.404928 x 100% = 40.4928%

  1. Find the volume of a right circular cylinder of length 80 cm and diameter of the base 14 cm. ?








  1. View Hint View Answer Discuss in Forum

    Given, r = 7 cm, h = 80 cm
    Volume = πr2h = (22/7) x 7 x 7 x 80

    Correct Option: C

    Given, r = 7 cm, h = 80 cm
    Volume = πr2h = (22/7) x 7 x 7 x 80
    = 12320 cm3

  1. The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder. ?








  1. View Hint View Answer Discuss in Forum

    Total surface area of cylinder = 2πr(h + r)
    Given that, r = 14/2 = 7 cm, h = 40 cm

    Correct Option: A

    Total surface area of cylinder = 2πr(h + r)
    Given that, r = 14/2 = 7 cm, h = 40 cm
    ∴ Required total surface area = 2 x (22/7) x 7 x (40 + 7)
    = 44 x 47 = 2068 sq cm

  1. If the radius of a cylinder is increased by 25% and its height remains unchanged, then find the percent increase in volume. ?








  1. View Hint View Answer Discuss in Forum

    According to the formula
    Percentage increase in volume
    = (2k + k2/100)% = ( 2 x 25 + 252/100)%

    Correct Option: A

    According to the formula
    Percentage increase in volume
    = (2k + k2/100)% = ( 2 x 25 + 252/100)%
    = (50 + 625/100)% = (50 + 6.25)%
    = 56.25%