Answer:
see explanation
Step-by-step explanation:
(1)
the volume (V) of a cube of side s is V = s³ = 64
Take the cube root of both sides
s = [tex]\sqrt[3]{64}[/tex] = 4 in
(2)
the area (A) of a square face = s² = 4 × 4 = 16 in²
(3)
the surface area (SA) is the area of all 6 faces of the cube, hence
SA = 6 × 16 = 96 in²
(4)
the amount of wood required is the value of the surface area, that is
96 in² of wood is required to make the box
