Question

THE VOLUME OF A WATER TANK IS 17400cm² IF THE HEIGHT OF THE TANK IS 2CM AND ITS BREADTH IS 16cm. FIND ITS LENGHT

Answer 1

Given

• Volume of the water tank = 17400 cm³
• Height of the tank = 2 cm
• Breadth of the tank = 16 cm

To find

• Length of the tank

Solution

Let the length of the tank be x cm.

Using formula,

Volume of the tank = lbh

where,

• l = length of the tank
• b = breadth of the tank
• h = height of the tank

Substituting the given values,

⟶ 17400 = x × 16 × 2

⟶ 17400 = 32x

⟶ 17400/32 = x

⟶ 543.75 = x

The value of x = 543.75

Therefore, the length of the tank = 543.75 cm

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Let's verify :-

Volume of the tank = lbh

• length of the tank = 543.75 cm
• breadth of the tank = 2 cm
• Height of the tank = 16 cm

⟶ 543.75 × 2 × 16

⟶ 17400 cm³

Hence, verified.

Answer 2

Question :-

• The volume of a water tank is 17400cm³ . If the height of the tank is 2cm and its breadth is 16cm. Find its Length .

Given :-

• Volume of tank = 17400cm³
• Height of the tank = 2cm
• Breadth of the tank = 16cm

To Find :-

• What is the Length of the Tank ?

Solution :-

Let the Length be L

★Volume = Length × Breadth × Height★

⇛ 17400 = L × 16 × 2

⇛ 17400 = L × 32

⇛ 17400/32 = Length

⇛ 543.74 = Length

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∴ The Length of the tank is 543.75cm

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★ Additional Info :

• Volume of cylinder = πr²h
• Volume of cone = ⅓ πr²h
• Volume of cuboid = l × b × h
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Volume of hemisphere = ⅔ πr³

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