Question

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 Mass of water when the tank was still a quarter full ​

Answer 1

Given :

A cuboidal tank measures 4m long, 2m wide, and 4.8m high.

Volume of cuboid = lbh cu. units

= (4 × 2 × 4.8) m³

= 38.4 m³

We know that,

1 m³ = 1000 l

∴ 38.4 m³ = (1000 × 38.4) l = 38400 l

Given : Initially it is half filled with water.

Half of the tank = 38400/2 = 19200 l

Volume of water after the 4000 litres more of water are added = (19200 + 4000) = 23200 l

1000 l = 1 m³

23200 l = (23200/1000) m³ = 23.2 m³

Find the depth of water in the tank :-

=> Volume of water in the tank = lbh cu. units

=> 23.2 = (4 × 2 × h)

=> h = 23.2/8 = 2.9

Hence,

The depth of water in the tank = 2.9 m

Answer 2

Answer:

Total volume of the tanker = 5 x 4 x 6 = 120$m^{3}$

when quarter filled the volume of water in tank = 120/4 = 30 $m^{3}$

1 $m^{3}$ of water weigh = 1000Kg

weight of 30 $m^{3}$ of water = 30 x 1000 kg = 30,000 kG

Step-by-step explanation: