A storage box has a length of 9/2 in., a width of 2 in, and a height of 3/2 in. Skylar wants to COMPLETLEY fill the box with 1/2 inch cubes. How many 1/2 inch cubes are needed o COMPLETLEY fil the box?
Answer Choices
A.) 108
B.) 72
C.) 54
D.) 16
The number of cubes = Volume of box / Volume of cubes
Volume of box = (9/2) (2) (3/2) = 54/4 in^3 = 27/2 in ^3
Volume of cube = (side)^3 = (1/2)^3 = 1/8 in^3
So
(27/2) / (1/8) =
(27/2) * (8/1) =
(27) (8/2) =
27 * 4 =
108 cubes