Question

what is the volume of this figure? 8 m 11 m 9 m 5 m 1 m 1 m cubic meters

Explanation:

Step1: Calculate outer - cuboid volume

The outer cuboid has dimensions \(l = 8m\), \(w=1m + 5m+1m = 7m\), \(h = 11m\). The volume formula for a cuboid is \(V=l\times w\times h\). So, \(V_{outer}=8\times7\times11 = 616m^{3}\).

Step2: Calculate inner - cuboid volume

The inner cuboid has dimensions \(l = 5m\), \(w = 5m\), \(h = 9m\). Using the volume formula \(V = l\times w\times h\), we get \(V_{inner}=5\times5\times9=225m^{3}\).

Step3: Calculate the volume of the figure

The volume of the given figure is the volume of the outer cuboid minus the volume of the inner cuboid. So, \(V = V_{outer}-V_{inner}=616 - 225=391m^{3}\).

Answer:

391