Respuesta :

Answer: The length of the paper weight would be 6 cm.

Explanation: Since the object is a cube that means all sides are the same length so to solve you would do 3√216 and your answer would be 6.

The length of the cube-shaped paperweight that has a volume of 216 cm³ is: 6 cm

Recall the following properties of a cube:

A cube has equal height, width, and length.

Formula for a cube is V = [tex]s^3[/tex], where s also represents the height, length and width.

Given:

Volume of the cubed shaped paperweight = 216 cm³

  • Substitute into the volume formula:

[tex]216 = s^3[/tex]

  • Take the cube root of both sides

[tex]\sqrt[3]{216} = s\\\\6 = s\\\\\mathbf{s = 6}[/tex]

Therefore, the length of the cube-shaped paperweight that has a volume of 216 cm³ is: 6 cm

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