Question

how many plank of each of which 300 cm long 15 cm broad and 5 cm thick can be prepared from a wooden block of 600 cm long 75 cm broad and 45 cm thick
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Answer 1

Answer:

90 Planksss

Step-by-step explanation:

$length \: of \: wooden \: block = 600cm \\ breadth \: of \: wooden \: block = 75cm \\ height \: of \: wooden \: block = 45cm$

$volume \: of \: wooden \: block \: \\ = 600 \times 75 \times 45 \: cm {}^{3}$

$\: again \: length \: of \: plank = 300cm \\ breadth \: of \: plank = 15cm \\ height \: of \: plank = 5cm$

$volume \: of \: plank \\ = 300 \times 15 \times 5 \: cm {}^{3}$

$therefore \: no. \: of \: plank \\ = \frac{volume \: of \: each\: wooden \: blck}{voume \: of \: each \: plank} \\ = \frac{600 \times 75 \times 45}{300 \times 15 \times 5} = 90$