Question

Q27. How many match boxes of dimension 9cm X 6cm x 6 cm, can be packed in a cartoon of 54 cm length, 42 cm
breadth and 36 cm of height.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Before, finding the answer. Let's find out on how we can find the answer.

• First, we have to find the Volume of Match box by using the formula of :

$\sf \boxed{\sf Volume \: of \: Cuboid = l \times b \times h }$

• Next, we must find the volume of Carton by using the same formula.
• Now, we must divide the Volume of Carton by the Volume of Match Box.

$\sf = \dfrac{Volume \: of \: Carton }{Volume \: of \: Match \: Box}$

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Given :

• Dimension of Matchbox = 9cm, 6cm and 6 cm.
• Dimension of Carton = 54 cm, 42 cm and 36 cm.

To find :

• how many match boxes can be fit.

Solution :

Volume of Matchbox = l × b × h

                                   = 9 × 6 × 6

                                   = 324 cm³

∴ Volume of Matchbox is 324 cm³.

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Volume of Carton = l × b × h

                              = 54 × 42 × 36

                              = 81648 cm³

∴  Volume of Carton is 81648 cm³.

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No of Match Boxes  $\sf = \dfrac{Volume \: of \: Carton }{Volume \: of \: Match \: Box}$

                                 $\sf = \dfrac{81648}{324}$

                                 $\sf = 252$

Therefore, 252 boxes are required for packing.