Abox has the shape of a rectangular prism with height of 28 cm. if the height is increased by 0.2 by how much does the surface area of the box increase?

The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

If the height is increased by 0.2

then

The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b