Problema Solution
Concrete contracts as it dires. After drying, if the volume of a cubical concrete block decreased by 29cm^3 and each edge decreased by 0.10 cm, what was the original length of an edge of the block?
Answer provided by our tutors
Let x represent the original length of the cubical, x>0
The original volume of the cubical is: V = x^3
After the drying the edge decreased by 0.10 cm: x - 0.10
The volume of the dry cubical is: V1 = (x - 0.10)^3
The volume of a cubical concrete block decreased by 29cm^3:
V1 = V - 29
(x - 0.10)^3 = x^3 - 29
........
........
x = 9.88 cm
The original length of the edge was 9.88 cm.