NOTE: ANSWERS MUST BE DIGITALIZED NOT HANDWRITTEN BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

Direction: Solve the following. SHOW THE COMPLETE SOLUTION.

6. A closed rectangular box with a square base is to have surface area of 150 square inches. What is the maximum possible volume such a box can contain. (3 Points) 8. Refer on the previous item, At what time between 1:00 pm and 6:00 pm is the traffic moving the slowest? (2 Points9. A lot has the form of right triangle with perpendicular sides 90 m and 120 m long. Find the width and length of the largest building that can be erected facing the hypotenuse of the triangle. (3 Points) 7. For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest that between 1:00 pm and 6:00 pm on a normal weekday the speed of traffic is approximately given by the function below. At what time between 1:00 pm and 6:00 pm is the traffic moving the fastest? . (2 Points) S(t) = 13 - 10.512 + 30t + 20 miles per hour, where t is the number of hours past noon