Question

Q.29) A box is 3m long, 40cm wide and 30 cm high. How many matchboxes can be put in it if each matchbox measures 3cm × 2cm × 1 cm. *

A) 20000

B) 80000

C) 40000

D) 36000​

Answer 1

$\LARGE\mathfrak\pink{answer}$

• First, we have to find the volume of the box.

Length of box = 3m i.e, 300cm

Breadth of box = 40cm

Height of box = 30cm

Volume of box = length × breadth × height

Volume of box = 300 × 40 × 30

$\large\rm\orange{Volume\:is\:3,60,000cm³}$

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• Now, we have to find the volume of the matchbox

Length of matchbox = 3cm

Breadth of matchbox = 2cm

Height of matchbox = 1cm

Volume of matchbox = 3cm × 2cm × 1cm

$\large\rm\orange{Volume\:is\:6cm³}$

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Now, we have to the number of matchbox that can be put in the box.

Number of matchbox = $\large\frac{Volume\:of\:box}{volume\:of\:matchbox}$

Number of matchbox = $\Large\frac{3,60,000}{6}$

$\therefore$Number of matchbox which can be put in the box is $\large\rm\underline\green{60,000\:matchboxes}$

Answer 2

A box is 3m long, 40cm wide and 30 cm high. How many matchboxes can be put in it if each matchbox measures 3cm × 2cm × 1 cm.  answer is 40000