A rectangular prism with a volume Of ten cubic units is filled with cubes with side lengths 1/2 units. How many 1/2 cubes does it take to fill the prism?
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Answer:
80 cubes
Step-by-step explanation:
Volume of cube is equal to product of three sides:
- abh= 10 unit³
Each side will fit 2 times of 1/2 unit so the volume, if filled with those 1/2 units will be equal to:
- 2a*2b*2h= 8 abh
- 8abh= 8*10 unit³= 80 unit³
So 80 of 1/2 cubes is the answer
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