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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. - Mathematics

Answer in Brief

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.

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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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.1 | Q 13 | Page 8
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