Question

a wooden plank is 140 cm long, 60 cm broad, and 40 cm thick, it is cut into 336 cubes. find the volume of each of the smaller cubes

Answer 1

Let the volume of one cube be y cubic cm
336 cubes are cut out
$336 \times {y}^{3} = 140 \times 60 \times 40$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 336000$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 336000 \div 336$
${y}^{3} \: \: \: \: \: \: \: \: \: \: \: = 1000$


$y = 10 \: cm$

Answer 2

volume of cuboid=140*60*40
volume of cuboid=336000
vol. of cuboid =336 volume of cubes
336000/336=volume of one cube
1000cm³=volume of the cube