Question

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.

Answer 1

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)`