Question

(A rectangular tank, 5 m long, 4 m wide and 2 m deep, contains water to a depth of
1.5 m. The water in the tank is run off into an empty tank that is 4 m long and 3 m
wide. What will be the depth of the water in the second tank?
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Answer 1

GIVEN :-

• Length of rectangular tank = 5m

• Breadth of rectangular tank = 4m

• Depth/height of rectangular tank = 2m

• Depth of water in rectangular tank = 1.5 m

• Length of empty tank = 4m

• Breath of empty tank = 3m

TO FIND :-

• Depth of water in the empty tank

SOLUTION :-

    Let the depth of water in the empty tank be x .

     

     Volume of water in rectangular tank = lbh

                                                                   = 5 × 4 × 1.5

                                                                    = 30 m³

       

   According to the question,

   Volume of water in rectangular tank = Volume of water in empty tank

       $\longrightarrow\qaud \sf 30 = 4\times 3 \times d \\\\\longrightarrow\qaud d = \dfrac{\not{30}^{10}}{4\times \not{3}}\\\\\longrightarrow\qaud d = \dfrac{10}{4}\\\\\longrightarrow\qaud \bf d = 2.5$

     

     

Depth of water in the second tank ( empty tank ) = 2.5 m