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A matchbox measures 4cm multiple 2.5 cm multiple 1.5 cm multiple. What will be the volume of the packet cointaing 12 such boxes?

A matchbox measures 4cm multiple 2.5 cm multiple 1.5 cm multiple. What will be the volume of the packet cointaing 12 such boxes?
 

Grade:9

1 Answers

Vikas Amritiya
askIITians Faculty 238 Points
14 days ago
Since the matchbox is cuboidal in shape, the volume of each matchbox will be equal to the volume of thecuboid.

Thevolume of the cuboidof lengthl, breadthb, and heighth, V = l × b × h

Length of the matchbox, l = 4 cm, Breadth of the matchbox, b = 2.5 cm, Height of the matchbox, h = 1.5 cm

The volume of each matchbox = l × b × h

= 4 cm × 2.5 cm × 1.5 cm

= 15 cm3

Volume of 12 matchboxes = 12 × 15cm3= 180cm3

Thus, the volume of thepacket containing 12 such matchboxes is 180 cm3.

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