D. 2744 cm^3
Soultion no. 1
If you put the figure sideways you get a prism (with the two dark triangles as bases) and the formula for the volume is
V = BH (where B is the area of the base and H is the height, 49)
The area of the triangle is
P = (8*14)/2 (half the area of a rectangle with sides 8 and 12) which is:
P = 8*7 = 57
The volume is:
V = 57 * 49 = 2744
Solution no. 2
The figure has half the volume of a rectangular prism with sides 8, 14 and 49
Which is:
V = (8*14*49)/2 = 2744
