Question

A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?

Answer 1

\[\text { Length of the cuboidal milk container = 8 cm } \]

\[\text { Breadth = 50 cm }\]

\[\text { Let h cm be the height of the container } . \]

\[\text { It is given that the container can hold 4 L of milk } . \]

\[\text { i . e . , volume = 4 L = 4 } \times 1000 {cm}^3 = 4000 {cm}^3 ( \because 1 L = 1000 {cm}^3 )\]

\[\text { Now, volume of the container = length } \times \text { breadth } \times \text { height }\]

\[ \Rightarrow 4000 = 8 \times 50 \times h\]

\[ \Rightarrow 4000 = 400 \times h\]

\[ \Rightarrow h = \frac{4000}{400} = 10 cm\]

\[ \therefore \text { The height of the milk container is 10 cm }. \]