A cube has a surface area of 200 square inches. Which choice is closest to the length
of an edge of the cube?

A. 2.4 inches
B. 4.7 inches
C. 5.8 inches
D. 33.3 inches

Respuesta :

Answer: C. 5.8 inches

Step-by-step explanation:

The formula for calculating the Surface area of a cube is give as :

surface area = 6[tex]a^{2}[/tex]

Where a is the length of an edge

That is :

200 = 6[tex]a^{2}[/tex]

divide through by 6

200/6 = [tex]a^{2}[/tex]

that is

[tex]a^{2}[/tex] = 33.33333333

take the square root of both sides

a = 5.773502692

Therefore the length of an edge ≈ 5.8 inches

Answer:

The correct answer is 5.8 inches. Hope this helps!

Step-by-step explanation:

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