A right rectangular prism has a length of 2.5 feet, a width of 3 feet, and a height of 1.5 feet. Cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining. How many 1/2 foot cubes can be added to fill the prism completely?

Answer: 90 cubes

Step-by-step explanation:

Hi, to answer this question, first we have to calculate the volume of the rectangular prism:

Volume of a rectangular prism (Vp) = width x length x height

Replacing with the values given:

Vp = 3 x 2.5 x 1.5 = 11.25 cubic feet

Now, we have to calculate the volume of one cube:

Volume of a cube (Vc) = side length ^3 = (1/2) ^ 3 = 1/8 ft3 = 0.125 ft3

Finally, we have to divide the volume of the prism by the volume of one cube:

11.25 / 0.125 = 90 cubes