Question

The volume of a cuboid is represented by the expression:x3+4x2-9x-36. Find the possible dimensions of the length, width and height of the cuboid and then use those dimensions to find the surface area of the same cuboid. PLEASE SEND ANSWER, IT IS URGENT

Answer 1

Step-by-step explanation:

Zoom Online Classes : 28th October 2020 Wednesday ‍‍

Answer 2

Answer:

length=(x+3)

width=(x-3)    

height=(x+4)  

surface area= 2(3x^2+8x-9)

Step-by-step explanation:

V=x^3+4x^2-9x-36

x^2(x+4)-9(x+4)

(x^2-9)(x+4)

(x+3)(x-3)(x+4)                                      [a^2-b^2=(a+b)(a-b)]

l=(x+3)

b=(x-3)    

h=(x+4)      

surface area=2(lb+bh+hl)

2 { (x+3)(x-3)+ (x-3)(x+4) +(x+3)(x+4) }

2 ( x^2-9+x^2+4x-3x-12+x^2+3x+4x+12 )

= 2(3x^2+8x-9)