Answer:
V = 343 m³
Explanation:
the 6 faces of a cube are congruent squares
given the surface are = 294 cm² , then area of 1 face is
294 m² ÷ 6 = 49 m²
the area ( A) of a square is calculated as
A = s² ( s is the side length ) , so
s² = 49 ( take square root of both sides )
=
s = 7
the volume (V) of a cube is calculated as
V = s³ , then
V = 7³ = 343 m³