A company that sells musical instruments is designing a box to ship instruments. The box will be a square-based prism that has a surface area of 68 000 cm^2. What are the dimensions of the box for the greatest possible volume?
Question 9 options:

length, width, and height = 104cm

length, width, and height = 106.5cm

length, width, and height = 184.4cm

length, width, and height = 260.8cm

Show your work:

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:

cant open file sorry!

step-by-step explanation:

you need to add a picture

step-by-step explanation:

your answer is a