Lots of points!! very important

L = length = 4

W = width = 3

H = height = 2

V = Volume of the box

V = L*W*H

V = 4*3*2

V = 24 cubic feet

S = Surface area of the box

S = 2*(L*W + L*H + W*H)

S = 2*(4*3 + 4*2 + 3*2)

S = 52 square feet

R = surface area to volume ratio

R = S/V

R = 52/24

R = 2.1667 approximate

This ratio is not less than 2, so it is not cost-effective for the company to use this box.

It is not cost-effective.

Step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: