Find the approximate change in the volume of a cube with sides x caused by decreasing the sides by 1%
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Answer:
Decrease in volume= 3℅ (apprx.)
Step-by-step explanation:
Let initial side of cube=x
Initual Volume of cube=x^3
Final side of cube=x - x/100
= 99x/100
Final volune of cube= (99x/100)^3
Percentage change in volume = [Final volume - Initial volume/Initial Volume]×100
[(99x/100)^3-x^3/x^3]×100= -2.97℅ = -3℅[apprx.]
- sign indicates decrease in volume.
Decrease in volume= 3℅[apprx.]
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