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.

Daniel Fischer asked Apr 26, 2023

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Daniel Fischer asked Apr 26, 2023

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16 votes

Answer:

vp=1186380cm^3

Explanation:

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