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Question
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
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Solution
\[\text { A cuboidal wooden block contains 36 } {cm}^3 \text { of wood } . \]
\[\text { i . e . , volume } = 36 {cm}^3 \]
\[\text { Length of the block = 4 cm }\]
\[\text { Breadth of block = 3 cm }\]
\[\text { Suppose that the height of the block is h cm }\]
\[\text { Now, volume of a cuboid = lenght } \times \text { breadth }\times\text { height }\]
\[ \Rightarrow 36 = 4 \times 3 \times h\]
\[ \Rightarrow 36 = 12 \times h\]
\[ \Rightarrow h = \frac{36}{12} = 3 cm\]
\[ \therefore\text { The height of the wooden block is 3 cm } .\]
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