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

Answer:

48 cubes

Step-by-step explanation:

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