Question

how many planks each of which is 2m long ,2.5 cm broad and 4cm thick can be cut off from a wooden block 6m long and 15cm broad and 40cm thick.

Answer 1

Answer:

Step-by-step explanation:

2m=200cm

6m=600cm

no. of planks = vol of wooden block/vol of 1 plank

                       =  600*15*40/200*2.5*4

                       =360000/2000

                       = 180 planks          

Answer 2

AnswEr:

We have ,

• Length = 6 m = 600 cm
• Breadth = 15 cm
• Height = 40 cm

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$\therefore$$\sf{Volume\:of\:wooden\:block}$

$\sf = (600 \times 15 \times 40) {cm}^{3}$

• Length of each plank = 2m = 200 cm
• Breadth of each plank = 2.5 cm
• Height of each plank = 4 cm

_______________________________

$\therefore$$\sf{Volume\:of\:each\:plank}$

$\sf = (200 \times 2.5 \times 4) {cm}^{2}$

$\therefore$$\sf{Number\:of\:planks}$

$\sf = \frac{volume \: of \: wooden \: block}{volume \: of \: each \: plank} \\ \\ \sf = \frac{600 \times 15 \times 40}{200 \times 2.5 \times 4} \\ \\ = \sf180$

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