Respuesta :

Answer:

6 m

Step-by-step explanation:

Side = x

Surface area = [tex]6x^2[/tex]

[tex]6x^2 = 216[/tex]

[tex]x^2 =36[/tex]

x = 6

The answer is 6m

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The side length of the cube is calculated as 6m

Data;

  • Surface Area = 216 sq. m
  • edge length = x

Surface Area of a Cube

The surface area of a cube is given as

[tex]A = 6x^2[/tex]

This indicates all the six sides in the cube.

Let's substitute the values and solve for x

[tex]A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6[/tex]

The side length of the cube is calculated as 6m

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