Question

A cuboidal wooden block contains 36 cm³ wood. If it be 4 cm long and 3 cm wide, find its height.

Answer 1

\[\text { A cuboidal wooden block contains 36 } {cm}^3 \text { of wood } . \]

\[\text { i . e . , volume } = 36 {cm}^3 \]

\[\text { Length of the block = 4 cm }\]

\[\text { Breadth of block = 3 cm }\]

\[\text { Suppose that the height of the block is h cm }\]

\[\text { Now, volume of a cuboid = lenght } \times \text { breadth }\times\text {  height }\]

\[ \Rightarrow 36 = 4 \times 3 \times h\]

\[ \Rightarrow 36 = 12 \times h\]

\[ \Rightarrow h = \frac{36}{12} = 3 cm\]

\[ \therefore\text {  The height of the wooden block is 3 cm } .\]