Question

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2. How many 1/2 unit cubes does it take to fill the prism

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Answer 1

48 cubes

Explanation:

`V_p=6\\\\\text{Calculate the volume of a cube:}\\\\V_(c)=\left((1)/(2)\right)^3=(1)/(8)\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\(V_p)/(V_c)=(6)/((1)/(8))=6\cdot8=48`