Question

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.

Answer 1

8.7

Explanation:

Answer 2

8.7 ft

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
`=(1)/(2)X 12X6=36$ ft^2`

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

`313.2=36 X x\\x= 313.2 / 36\\$Width of the ramp, x=8.7 ft`