Question

the volume of a cuboid is given by the algebraic expression x^3+2x^2-x-2.find the possible expressions for the dimensions of a cuboid

Answer 1

Volume of cuboid=
$x {}^{3} + 2x {}^{2} - x - 2$
$l \times b \times h = x {}^{3} + 2x {}^{2} - x - 2$
$l \times b \times h = x {}^{2} (x + 2) - 1(x + 2)$
$l \times b \times h = (x + 2)(x {}^{2} - 1)$
$l \times b \times h = (x + 2)( \: \:(x) {}^{2} - (1) {}^{2} )$
$l \times b \times h = (x + 2)(x - 1)(x + 1)$
So, the possible expression for-------
lenght=(x+2)
breadth=(x-1)
height=(x+1)

Answer 2

Answer:

,

Step-by-step explanation:

hope you get your answer