Question

Volume with cubes with fraction lengths​

Answer 1

`\large\boxed{24\ cubes}`

Explanation:

`\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_(p)=(1)(2)\left((3)/(2)\right)=3\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left((1)/(2)\right)^3=(1)/(8)\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\(V_p)/(V_c)=(3)/((1)/(8))=3\cdot8=24`

`\bold{METHOD\ 2}\\\\1cm:(1)/(2)m=1\cdot2=2\\\\2cm:(1)/(2)cm=2\cdot2=4\\\\(3)/(2)cm:(1)/(2)cm=(3)/(2)\cdot(2)/(1)=3\\\\2\cdot4\cdot3=24\ (cubes)`