Question

If it takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long, and 2 inches high, then how long will it take them to devour a block of wood that is 4 inches wide, 4 inches long, and 4 inches high? Assume that they keep eating at the same rate.

Answer 1

• 8 days

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Volume of the 2x2x2 block of wood

• V = 2*2*2 = 8 in³

Volume of the 4x4x4 block of wood

• V = 4*4*4 = 64 in³

Number of days to devour the bigger block

• 64/8 = 8