# 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
Log in to add a comment

Log in to add a comment

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

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

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.