Question

The capacity of a cuboidal tank is 450000 litres of water. Find the length of the

tank, if its breadth is 5m and height is 3m.​

Answer 1

Given :-

• The capacity of a cuboidal tank is 450000 litres of water. If its breadth is 5m and height is 3m.

To find :-

• Length of cuboidal tank

Solution :-

As we know that

→ Volume of cuboid = l × b × h

Where " l " is length, " b " is breadth and " h " is height of cuboid.

• 1 liter = 1000m³

According to question

• Capacity of a cuboidal tank = 450000
• Volume of cuboidal tank = 450000/1000 = 450 m³
• Breadth of cuboidal tank = 5m
• Height of cuboidal tank = 3m

→ Volume of cuboidal tank = 450m³

→ l × b × h = 450

→ l × 5 × 3 = 450

→ l × 15 = 450

→ l = 450/15

→ l = 30m

Hence,

• Length of cuboidal tank is 30m

Answer 2

★ QUESTION :

The capacity of a cuboidal tank is 4,50,000 liters of water. Find the length of the tank, whose Breadth is 5m and height is 3m.

GIVEN :

• The capacity of a cuboidal tank = 4,50,000 l
• Breath of the cuboidal tank= 5m
• Height of the cuboidal tank = 3m

TO FIND :

• Length of the cuboidal tank = ?

STEP -BY-STEP EXPLAINATION :

Now, as per the given values here :

➠ The capacity =4,50,000 l

➠ Breath of the cuboidal tank= 5m

        and

➠ Height of the cuboidal tank = 3m

So, now we will have to find 1 litres contains how much ??

• 1Litre = 1000m³

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Now, as per the provided question we will have to find here length of the cuboidal tank :

( First we will have to find here volume of the cuboidal tank )

$⟼ \frac{450000}{1000} = {450m}^{3}$

Therefore, volume of the cuboidal tank = 450m³

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(solving here as per the question) :

• Considering here length as 'x'

⟹ length × Breadth × Height

[ Substituting here the values as per the given formula ]

⟹ Length × 5 × 3

⟹ Length × 15 = 450

$⟹ \: ʟᴇɴɢᴛʜ \: = \frac{450}{15} = 30$

⟹ Length = 30m

Hence, we got here the value of 'Length' as 30m

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