Answer:
The statements that are true about the ramp is:
- The shape can be broken into a rectangular prism and a triangular prism.
Step-by-step explanation:
Clearly from the figure given to us we observe that:
- It is made up of a rectangular prism and a right angled triangular prism.
- Also, if B is the base area of the rectangular prism (i.e. square base) and h is it's height then the volume of the Rectangular prism is:
[tex]Volume=Bh[/tex]
Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2
Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]
Hence, the total volume of figure is:
[tex]Bh+\dfrac{Bh}{2}[/tex]
- Also, we have Base area B=4 square ft. (Since, it is made up of square base with side 2 ft. )
and h=4.8 ft.
Hence, volume of figure is:
[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]