ClarkeL54547 ClarkeL54547
  • 03-11-2022
  • Mathematics
contestada

how many side length of 1/4 cm does it take to fill the prism?

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AliciaO536476 AliciaO536476
  • 03-11-2022

Answer : 24 cubes

The Volume of a prism = L x w x h

Volume of the prism = 1 x 2 x 3/2

Volume of the prism = 6/2

Volume of prism = 3cm^3

[tex]\begin{gathered} \text{Volume of cube = L}^3 \\ \text{Length = }\frac{1}{2} \\ Volume\text{ = (}\frac{1}{2})^3 \\ \text{Volume of cube = }\frac{1}{8} \end{gathered}[/tex][tex]\begin{gathered} \frac{Volume\text{ of prism}}{\text{Volume of cube}} \\ =\text{ }\frac{3}{\frac{1}{8}} \\ =\text{ 3 x }\frac{8}{1} \\ =\text{ 24 cubes} \end{gathered}[/tex]

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