**History:**

The Math, Science, and Technology extension was added onto Aquinas Hall to accommodate the prestigious math and science programs as well as state-of-the-art laboratories. The sidewalk that was built allowed for trees and other plant life to grow between the walking paths.

**Problem:**

How much cement is needed to reconstruct the sidewalk and how much will it cost?

After certain measurements, it was calculated that the curve of the sidewalk has a cubic curve: f(x)=.0000845x^3+(-.02) x^2+1.68x+1.03

- Use the graph below to calculate the area of the sidewalk (not drawn to scale). Anything bordered by black lines is part of the garden display. (Assume that dashed lines are radii of circles)

- How much cement (in cubic feet) is needed if the thickness of the sidewalk is .5 feet?

- How much will it cost to reconstruct the sidewalk if cement costs $100 per 27 cubic feet?

Sidewalk Reconstruction Worksheet and Solution | |

File Size: | 439 kb |

File Type: |