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A prism is completely filled with 540 cubes that have edge length of 13 cm. What is the volume of the prism? Enter your answer in the box.

Respuesta :

msakerj

Answer:

vp=1186380cm^3

Step-by-step explanation:

  • Number of cubes =540
  • length of one edge=13cm
  • [tex]volume \: of \: a \: cube = {l}^{3} \\ v = {(13cm)}^{3} \\ = {2197cm}^{3} \\ [/tex]
  • [tex]volume \: of \: prism \: = volume \: of \: cube \: \times \: nuber \: of \: cubes \\ volume \: of \: prism = ( {2197cm}^{3} )(540) \\ = 1186380 {cm}^{3} = 1.1864 {m}^{3} [/tex]

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