The Fancy Box Company is designing their new
"Box of Boxes" product. It will be one large box containing
a number of small boxes that are 4-inch cubes. They advertise
that it's a perfect packaging product for a lot of small surprises!
Note: not drawn to scale and
not representative of the total number of small boxes!
Aaliyah, the production manager, needs to figure
out how many small boxes will fit in the large box. When the
large box is closed, the top and bottom are each 192 square
inches. The front and back are each 128 square inches. The sides
are each 96 square inches.
Questions: What are the dimensions of the
large box? How many small boxes will fit in the large box?
Extra: Aaliyah creates the same product
but the dimensions are centimeters instead of inches. How does
the volume of a 4 centimeter (cm) cube compare to the volume
of a 4 inch cube?