Question 25
A tank internally measuring 150cm x 120cm x 100cm has 1281600cm water in it.
Porous bricks are placed in the water until the tank is full upto that its brim. Each brick
absorbs one tenth of its volume of water. Number of bricks of size 20cm x 6cm x 4cm,
that can be put in the tank without spilling over the water are:
1150
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Answer:
Volume of cistern =150×120×110
=1980000 cm
3
Volume to be filled in cistern =
129600
1980000
=1850400 cm
3
Let x numbers of porous bricks were placed in the cistern.
Volume of x bricks = x×22.5×7.5×6.5
=1096.875x
As each brick absorbs one-seventeenth of its volume, therefore, volume absorbed by these bricks
=
17
x
(1096.875)
⇒1850400+
17
x
(1096.875)=(1096.875)x
⇒1850400=
17
16x
(1096.875)
x=1792.41
Therefore, 1792 bricks were placed in the cistern.
Step-by-step explanation:
I am saying hopefully it will work
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