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FF.21 Relate volume andsurface area HVU

The surface area of this cube is 54 square meters. What is the volume?

cubic meters

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Respuesta :

Answer:

27 cubic meters

Step-by-step explanation:

The surface area of this cube is 54 square meters.

Given a cube of side length s,

  • Surface Area [tex]=6s^2[/tex]

Therefore:

[tex]6s^2=54\\s^2=54/6\\s^2=9\\s=\sqrt{9}\\ s=3$ meters[/tex]

Volume of a Cube of side length s [tex]=s^3[/tex]

Volume of the cube [tex]=3^3[/tex]

=27 cubic meters

The volume of the cube is 27 cubic meters.

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