Question

10) A farmer decided to make a
cuboidal water tank of
measurements 5 metres length 4
metres width and 2 metres
height.He also decided to make a
iron cover for the tank. He used
white colour to paint the four walls
of the tank and blue colour to paint
the cover of the tank.
how much volume of water can be tank hold​

Answer 1

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.

Answer 2

Question:-

• A farmer decided to make a cuboidal water tank of measurements 5 metres length 4 metres width and 2 metres height.He also decided to make a iron cover for the tank. He used white colour to paint the four walls of the tank and blue colour to paint the cover of the tank. How much volume of water can be tank hold.

To Find:-

• Find how much volume of water can be tank hold.

Solution:-

Here ,

Formula Used:-

• C.S.A = 2H( L + B )

• A = L × B

• V = L × B × H

First ,

We have to find the area of tank painted by white colour:-

$\tt\implies \: \: \: C.S.A = 2 \times 2( 5 + 4 )$

$\tt\implies \: \: \: C.S.A = 2 \times 2( 9 )$

$\tt\implies \: \: \: C.S.A = 2 \times 18$

$\tt\implies \: \: \: C.S.A = 36 \: { m }^{ 2 }$

Now ,

We have to find the area of cover of tank painted by the blue colour:-

$\tt\implies \: \: \: A = 5 × 4$

$\tt\implies \: \: \: A = 20 \: { m }^{ 2 }$

Now ,

We have to find Volume of tank:-

$\tt\implies \: \: \: V = 5 × 4 × 2$

$\tt\implies \: \: \: V = 40 \: { m }^{ 3 }$

Hence ,

• C.S.A = 36

• $\tt A = 20 \: { m }^{ 2 }$

• $\tt V = 40 \: { m }^{ 3 }$