Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

Sagot :

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]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.