Quiz: Volume and Surface Area

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Number of Questions: 19

Question: 16 -

The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side

Options:
  1. 860

  2. 886

  3. 850

  4. 876

  5. Answer:

    876

    Solution:

    We will first calculate the Surface area of the cube, and then we will calculate the quantity of paint required.
    Surface area = 6a2
    =6*82=384 sq feet
    16 square feet is covered by 1 kg of paint.
    384 square feet will be covered by = Apti Volume and Surface Area= 24kg of paint

    As per the question, the cost of the paint is Rs. 36.50 per kg.
    So, the total cost of painting =36.50*24
    =Rs.876


Question: 17 -

A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on deeper side. Find the volume of the swimming pool?

Options:
  1. 272

  2. 260

  3. 270

  4. 262

  5. Answer:

    270

    Solution:

    Volume will be length * breadth * height,
    But, in this case two heights are given so we will take average,

    Apti Volume and Surface Area
    12*9*2.5m3=270m3


Question: 18 -

A boat of length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. What is the mass of the man?

Options:
  1. 80

  2. 60

  3. 50

  4. 70

  5. Answer:

    60

    Solution:

    In this type of question, first, we will calculate the volume of water displaces then we will multiply it with the density of water.
    1 cm = 0.06 m
    Volume of water displaced = 3*2*0.01 = 0.06 m cube
    Mass of Man = Volume of water displaced * Density of water (around 1000 kg/m3)
                             = 0.06 * 1000 = 60 kg


Question: 19 -

How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m?

Options:
  1. 620000

  2. 64000

  3. 630000

  4. 610000

  5. Answer:

    64000

    Solution:

    To solve this type of question, simply divide the volume of the wall with the volume of brick to get the required number of bricks.
    Number of bricks:
    =Apti Volume and Surface Area= 640000