Step-by-step explanation:
I guess the "roof" is the same height front and back, and the triangles go up in the same plane as the wall rectangles.
this object consists of 2 major parts :
1. the rectangular block or prism at the bottom
2. the triangular prism being put across (laying on its side) the top of the block.
at the end we need to add both volumes, and that is the result.
all regular (right) 3D objects have the same basic volume calculation :
based area × height
the volume of a rectangular block or prism is therefore just easily
length × width × height
nothing special.
so, in our case
14×9×8 = 1008 in³
the volume of a triangular prism is then
baseline × triangle height / 2 × prism height
in our case that is
14×5/2 × 9 = 7×5 × 9 = 315 in³
in total the volume of the whole object is
1008 + 315 = 1323 in³
