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10) A farmer decided to make acuboidal water tank ofmeasurements 5 metres length 4metres width and 2 metresheight.He also decided to make airon cover for the tank. He usedwhite colour to paint the four wallsof the tank and blue colour to paintthe cover of the tank.how much volume of water can be tank hold​

Answer»

Answer:

  1. Area of tank PAINTED by WHITE colour = 36 m²
  2. Area of cover of tank painted by blue colour = 20 m²
  3. Tank can hold 40000 L of water.

Step-by-step explanation:

Given that:

Dimensions of cuboidal water tank:

  • Length = 5 m
  • Breadth = 4 m
  • HEIGHT = 2 m

  • He also decided to make a iron cover for the tank.
  • He used white colour to paint the four walls of the tank.
  • Blue colour to paint the cover of the tank.

To FIND:

  1. Area of tank painted by white colour.
  2. Area of cover of tank painted by blue colour.
  3. How much volume of water can be tank hold?

Formula used:

  1. C.S.A. = 2H(L + B)
  2. A = (L × B)
  3. V = (L × B × H)

Where,

  • C.S.A. = Curved surface area of a cuboid
  • A = Area of top of a cuboid
  • V = Volume of a cuboid
  • L = Length of a cuboid
  • B = Breadth of a cuboid
  • H = Height of a cuboid

Finding the area of tank painted by white colour:

⇒ C.S.A. = 2 × 2(5 + 4)

⇒ C.S.A. = 4(9)

⇒ C.S.A. = 36

∴ Area of tank painted by white colour = 36 m²

Finding the area of cover of tank painted by blue colour:

⇒ A = (5 × 4)

⇒ A = 20

∴ Area of cover of tank painted by blue colour = 20 m²

Finding the volume of tank:

⇒ V = (5 × 4 × 2)

⇒ V = 40

∴ Volume of water tank = 40 m³

Converting the volume in litres.

∵ 1 m³ = 1000 L

∴ 40 m³ = (40 × 1000) L

∴ 40 m³ = 40000 L

Hence, Water tank can hold 40000 L of water.



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