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How many cubes with side lengths of
1
3
cm
3
1

cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text does it take to fill the prism?

4
3
cm
3
4

cm
5
3
cm
3
5

cm
2
cm
2 cm

cubes


Sagot :

The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.

What is the Volume of a Cube?

Volume = a³, where a is the side length.

What is the Volume of a Rectangular Prism?

Volume = lwh

Given the following:

  • a = ⅓ cm
  • l = 4/2 cm = 1/2 cm
  • w = 2/2 cm = 1 cm
  • h = 3/2 cm

Volume of the rectangular prism = (1/2)(1)(3/2)

Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³

Volume of the cube = (⅓)³ = 0.037 cm³

Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.

Learn more about the volume of cube on:

https://brainly.com/question/1972490

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