Question

John has a storage bin in the shape of a rectangular prism the storage bed is still in the and 1/2 ft long 2 ft wide and 2 ft tall Joe will put boxes that measure 1/2 ft on each side of the bed which is the greatest number of boxes drunken put into the bin​

Answer 1

We know, volume of rectangular prism is given by :

$V = lbh\\\\V=\dfrac{1}{2}\times 2\times 2\ ft^2\\\\V=2\ ft^2$

Volume of cubic box :

$v=a^3\\\\v=(\dfrac{1}{2})^3\ ft^3\\\\v=\dfrac{1}{8}\ ft^3$

Number of cubes can be filled :

$N=\dfrac{V}{v}\\\\N=\dfrac{2}{\dfrac{1}{8}}\\\\N=16$

Therefore, 16 cubes can be put in the bin.

Hence, this is the required solution.