Respuesta :

jarens
Cube has 4 lateral faces
4s² = 676 = 4 × 169 
s² = 169 
s = 13
your answer is 13

Answer: Side length of the cube is 13 feet.

Step-by-step explanation:

Since we have given that

Lateral area of a cube = 676 square feet

As we know the formula for "Lateral surface area":

[tex]L=4side^2\\\\676=4a^2\\\\\frac{676}{4}=a^2\\\\169=a^2\\\\\sqrt{169}=a\\\\13=a[/tex]

Hence, Side length of the cube is 13 feet.