The side lengths of a cube are all increased by 20%, As a percentage, by how much does its volume change?
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Answer:
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Step-by-step explanation:
Let edge of a cube is x unit. Its volume = x^3 units ^3.
New edge =x+20 % of x = 6x/5 units.
New volume of the cube =(6x/5)^3 = 216x^3/125 units ^3
Increase in volume =216x^3/125. - x^3. = 91x^3/125 units ^3
Percentage increase in the volume of a cube=(91x^3/125)×100/x^3
= (91×100)125 %. = 364/5 %. = 72.8 %. Answer.
Answered by
3
Answer:
Let edge of a cube is x unit. Its volume = x^3 units ^3.
New edge =x+20 % of x = 6x/5 units.
New volume of the cube =(6x/5)^3 = 216x^3/125 units ^3
Increase in volume =216x^3/125. - x^3. = 91x^3/125 units ^3
Percentage increase in the volume of a cube=(91x^3/125)×100/x^3
= (91×100)125 %. = 364/5 %. = 72.8 %. Answer.
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