Question

GUEST

A
A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide,
and 10 inches long. The drawing shows the dimensions of the small box.
4 in (h)
2 in (w)
2 in (l)
Part A
What is the maximum number of small boxes that can fit inside the large box?

Answer 1

To find the maximum number of small boxes that can fit inside the large box, we need to first calculate the volume of each box. The volume of the large box is:

V_large = 16 x 10 x 10 = 1600 cubic inches

The volume of the small box is:

V_small = 4 x 2 x 2 = 16 cubic inches

To find the maximum number of small boxes that can fit inside the large box, we can divide the volume of the large box by the volume of the small box, like this:

N = V_large / V_small = 1600 / 16 = 100

Therefore, the maximum number of small boxes that can fit inside the large box is 100.