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 total outer volume

Volume of outer cuboid: $V_{outer} = 8 \times 11 \times (1+5+1) = 8 \times 11 \times 7 = 616$ cubic meters

Step2: Calculate inner hollow volume

Volume of inner cuboid: $V_{inner} = 5 \times 9 \times 8 = 360$ cubic meters

Step3: Subtract inner from outer volume

$V_{total} = V_{outer} - V_{inner}$

Answer:

256 cubic meters