How Many Planks Of Size 2m×25cm×8cm Can Be Prepared From A Wooden Block 5m Long,70cm board and 32cm Thick , assuming that there is no wastage?
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1
Answer:
So, the number of planks of dimension $2m\times 25cm\times 8cm$ to build a wooden block of dimension 5m long, 70cm broad and 32 cm thick is 28. Hence, the answer is 28.
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Size of plank: 2m×25cm×8cm or 200cm×25cm×8cm
Size of wooden block: 5m×70cm×32cm or 500cm×70cm×32cm
volume of cuboid1 = l × w × b
= 200 * 25 * 8 = 40000 cm^3
volume of cuboid2 = l × w × b
= 500 * 70 * 32 = 1120000 cm^2
No. of planks that fit in wooden block
= 1120000/40000
=28
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