Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.


Which stamens are true ??check all that apply.

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable Which stamens are true check all that apply class=

Respuesta :

Answer:

it is 1,3,and 5

Step-by-step explanation:

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:

  1. 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]

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