# It expression p(x)=8x³-12x²+6x-1, represents the volume of solid cube. Show that shape is cube .Also find its edge if x=1

2
by Deleted account

2014-09-11T12:50:03+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Volume of a cube=a³ ,where a is the edge.

given volume=8x³-12x²+6x-1
=(2x)³-3(2x)² (1) +3 (2x) (1)²-(1)³
=(2x-1)³
=(2x-1) (2x-1) (2x-1)

⇒edge of the cube =2x-1

if x=1

then (2×1-1)=1

therefore edge is 1
2014-09-11T13:52:07+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
substituting x=1 in p(x)=8x³-12x²+6x-1
p(x)=8x³-12x²+6x-1
p(1)=8(1)³-12(1)²+6(1)-1
=8-12+6-1
=14-13
=1
thus the edge is 1