The inside dimensions of a rectangular box are 8 inches by 6 inches by 16 inches. How many cubes with the dimensions of 2 inches by 2 inches by 2 inches can be packed in the box?

Can be packed 96 cubes in the box

Step-by-step explanation:

To solve this exercise we are going to calculate the two volumes

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width = 8 in

l = length = 6 in

h = height = 16 in

v = w * h * l

we replace the values that we know

v = 8 in * 6in * 16 in

v = 768 in³

The volume of the box is 768 in³

Now we calculate the volume of the cube

v = 2in * 2in * 2in

v = 8 in³

Now we divide the volume of the box by the volume of the cubes and it will tell us how many cubes fit in the box

768 in³ / 8 in³ = 96

Can be packed 96 cubes in the box