angelatate7676
angelatate7676 angelatate7676
  • 12-04-2022
  • Mathematics
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a prism is completely filled with 96 cubes that have edge lengths of 1/2 cm. What is the volume of the prism?
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Hrishii
Hrishii Hrishii
  • 12-04-2022

Answer:

12 cubic cm

Step-by-step explanation:

[tex]V_{1\: cube} = \bigg( \frac{1}{2} \bigg )^{3} = \frac{1}{8} \: {cm}^{3} \\ \\ \implies \:V_{96\: cubes} = 96 \times \frac{1}{8} \: {cm}^{3} = 12\: {cm}^{3} [/tex]

It is given that: prism is completely filled with 96 cubes.

[tex]\implies \: V_{prism} =V_{96\: cubes}[/tex]

[tex]\implies \: \huge \red{V_{prism} = 12\: {cm}^{3}}[/tex]

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