A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?

Solution:

Dimensions of a matchbox are 4cm × 2.5cm × 1.5cm

Since the matchbox is cuboidal in shape, the volume of each matchbox will be equal to the volume of the cuboid.

The volume of the cuboid of length l, breadth b, and height h, 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 the packet containing 12 such matchboxes is 180 cm³.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

Video Solution:

A matchbox measures 4 cm × 2.5 cm × 1.5 cm. What will be the volume of a packet containing 12 such boxes?

Class 9 Maths NCERT Solutions Chapter 13 Exercise 13.5 Question 1

Summary:

It is given that there is a matchbox that measures 4 cm × 2.5 cm × 1.5 cm. We have found that the volume of the packet containing 12 such matchboxes is 180 cm³.

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