Question

The dimension of the rectangular tank is 40 cm by 30 cm by 20 cm.
(a) The rectangular tank is filled up with water to 7/8 of its height. The height of the water level in the rectangular tank is __ cm.
(b) The volume of the water in the rectangular tank is __ l.

Answer 1

Answer:

1.4 ᏝᎨᎿᏒᎬ

Volume of water in tank=30×20×6=3600cm

3

volume of cube=10

3

=1000cm

3

Volume of water in tank + Volume of cube=4600cm

3

height=h of water when volume is 4600 in the tank of length=30,breadth=20 is,

⇒30×20×h=4600

⇒h=7.667cm

Difference in height when cube submerged in tank=10−7.6667=2.333

Volume of water must be poured in tank=30×20×2.333=1399.98cm

3

=1.4litre

ᎻᎾᏢᎬ ᎨᎿ ᎻᎬᏝᏢᏕ ᎽᎾᏬ

Answer 2

Step-by-step explanation:

Dimensions of tank:-

length = l = 40 cm

breadth = b = 30 cm

height = h = 20 cm

(a) Height of water in tank = H = 7h/8 = 140/8 cm

Therefore, height of water in tank = 17.5 cm

(b) Volume of water in tank = l×b×H = 40×30×17.5

= 21000 cm³