Question

A box of matches measures 1 cm by 4 cm by 5 cm. Boxes of matches are packed in a cardboard box measuring 15 cm by 32 cm by 40 cm. How many boxes of matches fit into the cardboard box?

Answer 1

Answer:

960

Step-by-step explanation:

MATCHBOX       ║      CARDBOARD

l= 1cm                 ║          L = 15cm

b= 4cm               ║          B = 32cm

h=5cm                ║          H = 40cm

⇒Total no of Boxes = $\frac{Volume of cardboard}{volume of one matchbox}$

                             = $\frac{15*32*40}{1*4*5}$

                            = 960

∴Total no of matchboxes that can be kept = 960

Answer 2

Given :

Dimension of matche box,

• Length = 1 cm

• Breadth = 4 cm

• Height = 5 cm

Dimension of cardboard,

• Length = 15 cm

• Breadth = 32 cm

• Height = 40 cm

To find :

• Number of boxes of matches fit into the cardboard box =?

Step-by-step explanation :

We know that,

Volume of cuboid = Volume of match box = length × breadth × height

Substituting the values in the above formula, we get,

= 1 × 4 × 5

= 20.

Therefore, Volume of match box = 20 cm³.

Now,

Volume of cuboid = Volume of cardboard box = length × breadth × height

Substituting the values in the above formula, we get,

= 15 × 32 × 40

= 19200

Therefore, Volume of cardboard box = 19200 cm³.

Now,

Number of boxes of matches fit into the cardboard box = Volume of cardboard box / Volume of match box.

Substituting the values, we get,

= 19200/20

= 960.

Therefore, Number of boxes of matches fit into the cardboard box = 960.