Question

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?

Answer 1

80 cubes

Explanation:

Answer 2

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