Respuesta :

rle12904

Answer:

the side length would be 6 because when you multiply the side lengths of the rectangle you get 216, then you take the cube root of 216 and it gives you 6.

adioabiola

The side Length of the cube that has the same volume as a rectangular prism of size 9 cm × 6 cm × 4 cm is; 6cm

The volume of the rectangular prism as given is the product of its length, width and height.

Therefore; volume of rectangular prism is;

  • V = 9 × 6 × 4

  • V = 216.

If the cube has the same volume as the rectangular prism;

  • V(cube) = 216

  • 216 = l³

where l = side length of the cube.

[tex]l = \sqrt[3]{216} [/tex]

Therefore, l = side length of the cube = 6cm

Read more on volume of a cube;

https://brainly.com/question/10390547

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