An open rectangular water tank, made up of 2.5 cm thick iron, when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. The maximum amount of water the tank can hold is ____

c
m
3

and the total volume of iron used in the tank is ____

c
m
3

.

Question

An open rectangular water tank, made up of 2.5 cm thick iron, when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. The maximum amount of water the tank can hold is ____

c
    m
    3

and the total volume of iron used in the tank is ____

c
    m
    3
   
   .

Accepted Answer

An open rectangular water tank, made up of 2.5 cm thick iron, when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. The maximum amount of water the tank can hold is

1171625 
    
     cm
    3

and the total volume of iron used in the tank is

140575
    
      cm
    3
   
   .
  Given that,The external length of the water tank is

1.35 m=135 cm.
  External breadth of tank is

1.08 m=108 cm.
  And the external height of the tank is 90 cm. It is well known that the volume of a cuboid is

l×b×h,
   where l is the length, b is breadth, and h is the height of the cuboid.So, the external volume of the water tank can be calculated as,

135×108×90

cm
    3
   
   =1312200 
    
     cm
    3

.Since the iron used is 2.5 cm thick, therefore,Internal length of the tank,

135−2×2.5
   cm=130 cm.
  Internal breadth of the tank is

108−2×2.5
   cm=103 cm.
  Internal height of the tank is

90−2.5
   cm=87.5 cm.
   The capacity of the tank, or the internal volume can be calculated as,

130×103×87.5

cm
    3
   
   =1171625 
    
     cm
    3

The volume of the iron used = External volume of the tank - Internal volume of the tank.

⇒V=
      
       1312200−1171625
     
      cm
      3

=140575 
      cm
      3

The maximum amount of water the tank can hold is

1171625  c
    m
    3

and the total volume of iron used in the tank is

140575 c
    m
    3
   
   .

An open rectangular water tank, made up of 2.5 cm thick iron, when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. The maximum amount of water the tank can hold is $c m 3$ and the total volume of iron used in the tank is $c m 3 .$

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An open rectangular water tank, made up of 2.5 cm thick iron, when measured from outside is 1.35 m long, 1.08 m broad and 90 cm deep. The maximum amount of water the tank can hold is ____ c m 3 and the total volume of iron used in the tank is ____ c m 3 .