Question

2. A rectangular water tank measures 5m long,
4m wide and 6m high. Initially it is a
quarter filled with water. Given that the
density of water is 1000kg/m3,





Find:
The height of water after 4000l
more is added to the tank.​

Answer 1

Answer:

1.7 m.

Step-by-step explanation:

Total volume = l × b × h

= 5 × 4 × 6 = 120 cb. m.

Quarter filled = 1/4 × Volume = 1/4×120 = 30 cb. m.

Water added = 4000 l. = 4 cb. m.

New Volume = 34 cb.m.

Height of water = Volume / Base area

= 34 / (5×4) = 34/20 = 1.7 meter.

Answer 2

Given:-

• Dimension of rectangular water tank is 5 m × 4 m × 6 m.

• It is quarterly filled with water.

To Find:-

• The height of water after 4000 L more is added to the tank.

Solution:-

Here, Volume of Tank = Length × Breadth × Height

                                     = 5 m × 4 m × 6 m

                                     = 120 m³

We Know that:-

1 m³ = 1000 L

120 M³ = 1,20,000 L

Since, Tank is quarterly filled with water that is $\dfrac{120000}{4}$ = 30,000 L

Now, 4000 L extra added then total water,

⇒ ( 30,000 + 4000 ) L = 34,000 L

Now, 34,000 L = 34 m³

So, Volume of water in tank = L × B × H

                                  34 m³  = 5 m × 4 m × h

                                          h = $\dfrac{34}{20}$ m

                                          h = 1.7 m

Hence, Height of water after 4000 L more is added to the tank is 1.7 m.