blushiymuah blushiymuah
  • 12-10-2021
  • Mathematics
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how many cubes with side length of 1/3cm does it take to fill the prism l=2 w=4/3 h=2

how many cubes with side length of 13cm does it take to fill the prism l2 w43 h2 class=

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VirαtKσhli
VirαtKσhli VirαtKσhli
  • 12-10-2021

Given :-

  • Dimensions of cube = 1/3 cm *1/3cm *1/3cm.
  • Dimensions of cuboidal prism = 2cm*4/3cm *2cm .

To Find :-

  • The number of cubes that can be filled.

Answer :-

The number of cubes will be say ' n ' ,

  • n = Volume of cuboid / Volume of cube
  • n = 2cm*4/3cm *2cm ÷ 1/3 cm *1/3cm *1/3cm
  • n = 2² * 4 * 3³ / 3
  • n = 16 * 9
  • n = 144

Hence the number of cubes is 144.

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