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

the graph on the bottom right

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: