Question

Ricky is filling an 8 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two different sizes ,1 cubic inch and 1/8 inch .How many peanuts of each size are needed to fill the box?

Answer 1

Ok, so we can fill the part of the box that corresponds to the 8x4 inches with the boxes that are 1 cubic inch - that wound be 8x4, that is 32 such boxes.

then the rest would be 8x $\frac{1}{2}$ inches, that is 4 cubic inches.

In order to fill in 4 cubic inches with  $\frac{1}{8}$ inches boxes we calculate:

$4/ \frac{1}{8}=4*8=32$  So it's also 32 such small boxes!