Question

A tank 72 cm long,60 cm wide ,36 cm high, contains water to a depth of 18cm .A metal block 48 cm by 36 cm by 15 cm is put into the tank and totally submerged.Find in cm the amount the water level rises?

Answer 1

Lenghth of tank =72
width of tank. =60
hight of tank =36
so,
volume of tank = lbh
= (72)(60)(36)
= 155520 sq cm

But volume of water = lbh
=(72)(60)(18)
= 77760 sq cm
lengh of metal block =48
width of metal block = 36
hight of metal block=15
volume. =lbh
=(48)(36)(15)
= 25920 sq cm
let hight of water rises be x cm
so,
lbh = volume of metal
(72)(60)(x) = 25920
4320 x = 25920
x= 25920/4320
x = 6
Hence rise in water level = 6 cm