If small rectangular boxes, each measuring 4 inches by 7 inches by 8 inches are arranged in a rectangular box measuring 20 inches by 42 inches by 24 inches, how many smaller boxes fit into the larger box? Choose the correct choice from the following options:
A) 45 B) 90 C) 64 D) 12 E) 23
The 4 inch side should be aligned to the 20 inch side ( 5 layer)   7 inch side should be aligned to the 42 inch side. (6 layer)   and 8 inch side should be aligned to the 24 inch side.(3 layer)   Maximum number of rectangles =5*6*3= 
<gadget id="calculator">5*6*3</gadget>
<output>90</output>
90 Answer is 90
<result>B</result>
If small rectangular boxes, each measuring 4 inches by 7 inches by 8 inches are arranged in a rectangular box measuring 20 inches by 42 inches by 24 inches, how many smaller boxes fit into the larger box?