To find the volume of the figure, we need to take the individual volumes of both prisms and add them together.
For the rectangular prism, it is really easy, since the volume of a rectangular prism is simply length * width * height.
10 * 10 * 30 = (10 * 10) * 30 = 100 * 30 = 3000
The rectangular prism has a volume of 3000 [tex]in^{3} [/tex].
For the triangular prism, you follow essentially the same rules, but you divide by 2 at the end (since a triangle is simply half a quadrilateral).
9 * 10 * 30 = (9 * 10) * 30 = 90 * 30 = 2700
2700 / 2 = 1350
The volume of the triangular prism is 1350 [tex] in^{3} [/tex].
To find the total volume of the figure, we just need to add the volumes of the two prisms.
3000 + 1350 = 4350
The volume of the figure is 4,350 [tex]in^{3} [/tex].
Hope that helped! =)
