The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume. How much does a company save by choosing to make 50 of Box 2 instead of 50 of Box 1?

Surface area of Box 1 to the nearest hundredth:

ft2

Surface area of Box 2 to the nearest hundredth:

ft2

Cost of 50 of Box 1 the nearest cent: $

Cost of 50 of Box 2 the nearest cent: $

Using the rounded values above, the company saves $

by using Box 2.

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

We need to caculate the surface areas of

Box 1 = 2lw+2lh+2hw = 2*20*4 + 2*20*6 + 2*6*4 = 448 [tex]in^{2}[/tex]

Box 2 = 2lw+2lh+2hw = 2*15*8 + 2*15*4 + 2*4*8 = 424[tex]in^{2}[/tex]

So the differences in surface areas of the two boxes is:

448 [tex]in^{2}[/tex] - 424[tex]in^{2}[/tex]

= 24 [tex]in^{2}[/tex]

So the saving company have is: 24 [tex]in^{2}[/tex] *$1.25 = 30

Hope it will find you well.

ibiscollingwood ibiscollingwood · Answer 2 · 2022-04-05T15:25:42+02:00

The money saved by company is $30.

To understand more, check below explanation.

Surface area of box:

Two boxes given with different dimensions but both have same volume.

Box 1 has dimensions of 20 inch, 6 inch and 4 inch.

Box 2 has dimensions of 15 inch, 4 inch and 8 inch.

Now we have to find surface area of both boxes.

Box 1 = 2lw+2lh+2hw = 2*20*4 + 2*20*6 + 2*6*4 = 448

Box 2 = 2lw+2lh+2hw = 2*15*8 + 2*15*4 + 2*4*8 = 424

So the differences in surface areas of the two boxes is calculated as;

= 448 - 424 = 24

The money saved by company is,

= 24 *1.25 = $30

Learn more about the volume here:

https://brainly.com/question/14957364