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The wooden cube of minimum size that is to be made from blocks of 5 × 10 × 20 has a side length equal to the least common multiple (LCM) of (5, 10, 20)

LCM of (5, 10, 20) = 20

Hence, Size of Wooden block = 20cm

Volume of cubical wooden block = (size)3

∴ Volume of minimum wooden cube = 20 × 20 × 20 cm3

∵ Volume of cuboid = length × breadth × height

∴ Number of wooden blocks required = (20 × 20 × 20)/(5 × 10 × 20)

= 8 blocks

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