Question

A plastic storage box in the shape of a rectangular prism has a length of x+3, a width of x-4 and a height of 5. Represent the surface area of the box as a trinomial in terms of x

Answer 1

Answer:surface area = 2x^2 + 18x - 34

Explanation:

The formula for determining the surface area of a rectangular prism is expressed as

Surface area = 2lh + 2wh + 2wl

Where

l represents the length of the rectangular prism.

h represents the height of the rectangular prism.

w represents the width of the rectangular prism

From the information given,

l = x+3

h = 5

w = x - 4

Surface area = 2 × 5 × (x+3) + 2 × (x - 4) × 5 + 2 × (x - 4) × (x + 3)

= 2(5x + 15) + 10(x - 4) + 2[x^2 + 3x - 4x - 12]

= 10x + 30 + 10x - 40 + 2x^2 - 2x - 24

= 2x^2 + 18x - 34