Answer:
1176 cm^3
Step-by-step explanation:
Here are 2 ways of finding the volume.
Method 1.
Think of the front face, and the rectangle size you need to change from an L shape to a full rectangle.
The volume the larger prism then is
16 cm * 21 cm * 6 cm = 2016 cm^3
Now we need to subtract the part we added.
10 cm * 14 cm * 6 cm = 840 cm^3
2016 cm^3 - 840 cm^3 = 1176 cm^3
Method 2.
Think of the left vertical part and the lower horizontal part.
6 cm * 21 cm * 6 cm = 756 cm^3
10 cm * 7 cm * 6 cm = 420 cm^3
Add the two volumes.
756 cm^3 + 420 cm^3 = 1176 cm^3