Question

A sandwich shop uses the box size shown to pack boxed lunches. They have determined that they need to use bigger boxes. If the side lengths of the square faces are changed to 7 inches, by how much will this increase the volume of the box?

Answer 1

Answer:

240 cubic cm

Step-by-step explanation:

Volume of the box before increament in sides = length*width*height

Length= 5 in.

Width=5 in.

Height = 10 in.

Putting these vales in formula

Volume of box = 5*5*10

                        =$250cm^{3}$

Now  If the side lengths of the square faces are changed to 7 inches,

So, Length will be 7 in.

Width will be 7 in.

So, new volume = 7*7*10

                          =$490cm^{3}$

Thus increase in volume = 490-250 =240

Hence by 240 cubic cm  will this increase the volume of the box

Answer 2

The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.

We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.

Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.

So the answer to this is 240.