Jayden needs to store boxes that are 4 feet long, 3 feet wide, and 2 feet high. The boxes must remain upright with one of the 4-foot by 3-foot sides on top. Jayden's storage locker is 12 feet long, 6 feet wide, and 9 feet high. What is the greatest number of boxes that he can store in the locker?

Respuesta :

The dimensions of the box are = 4 feet (length); 3 feet(width); 2 feet(height)

So, volume of the box is = [tex]4\times3\times2=24[/tex] cubic feet

The dimensions of the storage locker are = 12 feet(length); 6 feet(width) ; 9 feet(height)

So, volume of the storage locker is = [tex]12\times6\times9=648[/tex]

So, the greatest number of boxes that can be stored are =

[tex]\frac{648}{24}= 27[/tex] boxes

Hence, a maximum of 27 boxes are stored.