Volume and Surface Area of Solid Figures


  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. 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. 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. 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. The paint in certain container is sufficient to paint an area equal to dimensions 22.5 cm x 10 cm x 7.5 cm can be painted out of this container ?









  1. View Hint View Answer Discuss in Forum

    Surface area of 1 brick
    = 2 (lb + bh + lh)
    = 2(22.5 x 10 + 10 x 7.5 + 7.5 x 22.5)
    = 2(225 + 75 + 168.75)
    = 2 x 468.75 = 937.50 cm2
    = 93750/(100 x 100) = 0.09375 sq m
    ∴ Number of bricks = Total area/Surface area of 1 brick

    Correct Option: A

    Surface area of 1 brick
    = 2 (lb + bh + lh)
    = 2(22.5 x 10 + 10 x 7.5 + 7.5 x 22.5)
    = 2(225 + 75 + 168.75)
    = 2 x 468.75 = 937.50 cm2
    = 93750/(100 x 100) = 0.09375 sq m
    ∴ Number of bricks = Total area/Surface area of 1 brick
    = 9.375 / 0.09375 = 100