the total volume of the chimney is:
V =456 in^3
Remember that the volume of a rectangular prism of dimensions L, W, and H is:
V = L*W*H
If you look at the image of the chimney (bottom right image) you can see that the figure can be viewed as 2 rectangular prisms, one smaller of dimensions:
4in x 12in x 9 in
Then the volume of the larger part is:
V = (4in)*(12in)*(9in) = 432 in^3
The smaller prism has dimensions:
of (6in - 4in) = 2in x 3in x 4in
Then the volume is:
V = (2in)*(3in)*(4in) = 24 in^3
Then the total volume of the chimney is:
V = 432 in^3 + 24 in^3 = 456 in^3
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1