The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?

Respuesta :

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

[tex]V=A\times h[/tex]

A is area of base and h is height

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².