Aglass box shaped like a rectangular prism has width 7 in, length 9 in, andheight 12 in. it is being shipped in a larger box with with 10in length 10 in in height 15 in. the space between the glass box and the shipping box will be filled with styrofoam peanuts. how many cubic inches is space will contain styrofoam peanuts? show all work.

Hello!

If I understood your question correctly, then we must find the volumes of the smaller and larger rectangular boxes, and we must subtract the smaller box's volume from the larger box's volume.

We must use a formula to find the volume of a rectangular prism. The formula is:

V = l × w × h

SMALLER BOX VOLUME:

V = l × w × h

V = 9 × 7 × 12

V = 63 in^2 × 12

V = 756 in^3

So, the volume of the smaller box is 756 cubic inches.

LARGER BOX VOLUME:

V = l × w × h

V = 10 × 10 × 15

V = 100 in^2 × 15

V = 1,500 in^3

So, the volume of the larger box is 1,500 cubic inches.

Now, subtract the volume of the smaller box from the volume of the larger box.

1,500 - 756 = 744

ANSWER:

The space between the two boxes that we contain Styrofoam peanuts will be 744 cubic inches.