A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of / dfrac12

2

1

start fraction, 1, divided by, 2, end fraction unit.

How many / dfrac12

2

1

start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?

Given that the volume of the prism is given by:

10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:

(volume of rectangular prism) / (volume of cube)

but

volume of cube is:

volume=length*width*height

volume=1/2*1/2*1/2=1/8 cubic units

thus the number of cubes required to fill the prism will be:

10 / (1/8)

=10*8/1

=80 cube

Answer: 80 cubes