Geometry: Common Core (15th Edition)

The volumes remain the same because multiplication is commutative. This means the numbers can be multiplied in any order with the same product. This can be proven by solving for the volumes with the different measurements. Volume = length x width x height First figure measurements: Base = 2m x 3m Height = 4m V = 2m x 3m x 4m = 24 m$^{2}$ Second figure measurements: Base = 3m x 4m height = 2m V = 3m x 4m x 2m = 24 m$^{2}$