Why does volume divided by area equal height?

Answer 1

V= l * w * h

since A= l * w

V= A * h

therefore h= V/A

Answer 2

Volume divided by area equals height when calculating the height of a three-dimensional shape, such as a rectangular prism, because height is the measurement of the third dimension in relation to the other two dimensions (length and width). Dividing the volume of the shape by its base area gives the height because volume represents the total space enclosed by the shape, and dividing by the base area isolates the height component. This relationship holds true for shapes where the height is perpendicular to the base and the shape is uniform throughout.