Respuesta :

Answer:

The lateral edge is [tex]7\ in[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6b^{2}[/tex]

where

b is the length side of the cube

we have

[tex]SA=294\ in^{2}[/tex]

substitute in the formula and solve for b

[tex]294=6b^{2}[/tex]

[tex]b^{2}=294/6[/tex]

[tex]b^{2}=49[/tex]

[tex]b=7\ in[/tex]

Answer:

7

Step-by-step explanation:

294/6 = 49

square root of 49 is 7