A bicycle ramp used for competitions is a triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

answer are

step-by-step explanation: