Two cube-shaped boxes are stacked one above the other. The volume of one box is 512 cubic meters, and the volume of the other box is 216 cubic meters.

Question

The total height of the stacked boxes is
meters.

Answer 1

h₁ = height of first box

h₂ = height of second box

h = total height of the stacked boxes

V₁= Volume of first box

V₂ = Volume of second box

V₁ = 512 m³

h₁³ = 512

h₁ = ∛ 512 = 8 m

V₂ = 216 m³

h₂³ = 216

h₂ = ∛ 216 = 6 m

h = h₁ + h₂ = 8 + 6 = 14 m