how much will the volume of a cube change if the length of its edges is tripled
Answers
If the edge of cube will be doubled then the volume will be 8 times . and if edge of cube will be halfed then the volume will be 1/8. If edge of cube will be tripled then the volume will be 27 times. greater than the original volume.
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let the edge be x
a- volume of cube = l^3
(2x)^3
8x^3
therefore the no of times the volume increased=8x^3/x^3
= 8 times
2- if halved
volume=(x/2)^3
=x/8^3
therefore the no of times the volume decreased=1/8x^3/x^3
=1/8 times
3- tripled
new l = 3x
volume= (3x)^3
=27x^3/x^3
= 27 times
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Answer:
Total surface area of cube =6a^2
216=6a^2
216/6=a^2
(36)^2=a
a=6
Volume of cube =a^3
=6^3
=216