Question

$\underline{\color{blue}{Question :}}$
A milk container is 8cm long and 50cm wide. what should be it's height so that it can hold 4 litters of milks??


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Answer 1

Answer:

Required height = 10cm

Explanation:

Given,

A milk container is 8cm long and 50cm wide.

Find the required height of the container so it can hold 4 litres of milks.

Let's say the required height is x cm.

Volume of the container is given by,

→ l × b × h

Where,

• l is length = 8cm
• b is width = 50cm
• h denotes the height = x cm.

So the volume is,

→ 400x cm³

Here, the container's capacity is 4 litres.

We know,

• 1 litres = 1000cm³

Then,

4 litres = 4000cm³

According to the question,

Capacity of the container must be 4 litres

∴ 400x = 4000cm³

Solving for x :-

→ 400x = 4000

→ x = 4000/400

→ x = 10

∴ Required height of the container is 10cm

Answer 2

$\huge⚘ \bf \ \red{Answer}$

Let h be the height of the container.

Given Length of container (l)=8 cm

Width of container (b)=50 cm

Volume of container =4 L

= 4×1000 cm³

= 4000 cm³ [∵1 L=1000 cm3]

⇒lbh=4000

⇒8×50×h=4000

⇒400×h=4000

$⇒h= \dfrac{4000}{400}$

⇒h=10

∴ Height of container =10 cm

• I Hope It's Helpful My Friend.