Question

The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism

Answer 1

6x²+36x+22

Explanation:

Surface Area = 2(wl + hl + wh)

Length = (x+3)

Width = (x+7)

Height = (x-1)

Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))

Then simplify

2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))

=2x²+20x+42+2x²+4x−6+2x²+12x−14

=6x²+36x+22

Answer 2

A=2wl+2lh+2hw

A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)

A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)

A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)