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notsponge [240]
3 years ago
15

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 i

n the box.
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

vp=1186380cm^3

Step-by-step explanation:

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