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Question
Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.
Solution
\[\text { Dimension of one cuboidal box }= 2 cm \times 3 cm \times 10 cm\]
\[\text { Volume }= (2 \times 3 \times 10) {cm}^3 = 60 {cm}^3 \]
\[\text { It is given that the dimension of a carton is 40 cm } \times 36 cm \times 24 cm, \text { where the boxes can be stored } . \]
\[ \therefore\text { Volume of the carton = } (40 \times 36 \times 24) {cm}^3 = 34560 {cm}^3 \]
\[ \therefore \text { The required number of cuboidal boxes that can be stored in the carton = }\frac{\text { volume of the carton }}{\text { volume of one cuboidal box }} = \frac{34560 {cm}^3}{60 {cm}^3} = 576\]
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