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.

Answer 1

\[\text { Length of the rectangular water reservoir = 12 m } \]

\[\text { Breadth = 3 . 5 m } \]

\[\text { Suppose that the height of the reservoir = h m }\]

\[\text { Also, it contains 105 } m^3 \text { of water, i . e . , its volume } = 105 m^3 \]

\[\text { Volume of the cuboidal water reservoir = length } \times \text { breadth } \times \text { height }\]

\[ \Rightarrow 105 = 12 \times 3 . 5 \times h\]

\[ \Rightarrow 105 = 42 \times h\]

\[ \Rightarrow h = \frac{105}{42} = 2 . 5 m\]

\[ \therefore \text { The depth of the water in the reservoir is 2 . 5 m } .\]