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Question
A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
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Solution
\[\text { Length of the rectangular water reservoir = 12 m } \]
\[\text { Breadth = 3 . 5 m } \]
\[\text { Suppose that the height of the reservoir = h m }\]
\[\text { Also, it contains 105 } m^3 \text { of water, i . e . , its volume } = 105 m^3 \]
\[\text { Volume of the cuboidal water reservoir = length } \times \text { breadth } \times \text { height }\]
\[ \Rightarrow 105 = 12 \times 3 . 5 \times h\]
\[ \Rightarrow 105 = 42 \times h\]
\[ \Rightarrow h = \frac{105}{42} = 2 . 5 m\]
\[ \therefore \text { The depth of the water in the reservoir is 2 . 5 m } .\]
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