A bicycle ramp used for competitions is a triangle prism. The volume of the ramp is 313.2 cubic feet. Write and solve an equation to find the the width of the ramp.

Respuesta :

Answer:

8.7 ft

Step-by-step explanation:

The diagram of the ramp is attached below.

Volume of a Triangular Prism = Base Area X Width

From the diagram:

Base of the triangle = 6 ft

Height of the Triangle = 12 ft

Therefore:

Base Area of the Prism [tex]=\frac{1}{2}X 12X6=36$ ft^2[/tex]

From the diagram, Width of the ramp =x

Given that the volume of the ramp is 313.2 cubic feet.

Therefore, substituting into the formula for Volume of a Triangular Prism

[tex]313.2=36 X x\\x= 313.2 \div 36\\$Width of the ramp, x=8.7 ft[/tex]

Ver imagen Newton9022

Answer:

8.7

Step-by-step explanation: