Question

A box is 3m long, 40 cm wide and 20 cm high . How many match boxes can we put in it of each match box measures 3cm× 2cm × 1cm.​

Answer 1

$\huge\fbox{Answer ☘}$

dimensions of box= 3m × 40cm× 20cm

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎= 300cm × 40cm × 20cm

dimensions of matchbox ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎=> 3cm×2cm×1cm

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now ,

number of matchboxes that can be put in the bigger box = $\\\frac{volume \: of \: box}{volume\:of\:1\:matchbox}$

$= > \frac{300 \times 40 \times 20}{3 \times 2 \times 1} \\\\ = > \frac{240000}{6} \\\\ \bold\blue{ = > 40000\: matchboxes}$

therefore , a total of 40 , 000 matchboxes can be put in the carton.

hope helpful~