Respuesta :

irspow
The surface area of a cube is:

A=6s^2, where s is the length of a side.

6s^2=A

s^2=A/6

s=√(A/6), we are given that the area is 294in^2 so:

s=√(294/6)

s=√49, since s>0

s=7in

So the side length of the cube is 7 inches.

Answer:

7 inches is the  length of its sides

Step-by-step explanation:

Surface area (A)of cube is given by:

[tex]A = 6s^2[/tex]       ......[1]

where,

s is the length of the side of a cube.

As per the statement:

A cube has a surface area of 294 sq. in.

⇒[tex]A = 294 in^2[/tex]

Substitute in [1] we have;

[tex]294 = 6s^2[/tex]

Divide both sides by 6 we get;

[tex]49 = s^2[/tex]

⇒[tex]\sqrt{49} = x[/tex]

⇒7 =x

or

x= 7 inches

Therefore, 7 inches is the  length of its sides

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