Respuesta :

Answer:

1000 in³

Step-by-step explanation:

A cube has 6 square faces

Given the surface area of the cube = 600 in², then

The area of 1 face = 600 ÷ 6 = 100 in²

The area of a square = s² ( where s is the measure of a side ), thus

s² = 100 ( take the square root of both sides )

s = [tex]\sqrt{100}[/tex] = 10

The volume (V) of the cube = s³, so

V = 10³ = 1000 in³