Question 5. The Great Pyramid of King Khufu was built of limestone in Egypt over a 20-year time period from 2580 bc to 2560 bc. Its base is a square with side length 756 ft and its height when built was 481 ft. (It was the tallest man-made structure in the world for more than 3800 years.) The density of the limestone is about 150 lb/ft3. Estimate the total work done in building the pyramid.

If you leave a 100-W light bulb on for a week, how many joules of energy will be consumed?

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and that of 84 preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on theWeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959] a. use the technology of your choice to determine the mean and median of each of the two data sets. b. compare the two data sets by using your results from part (a).

Since the die is a cube, a regularly shaped geometric object, its volume can easily be determined by performing a direct, physical measurement of its length using a metric ruler.  You find the length of one side of the die to be approximately 1.27cm long.  Since the die is a cube, its volume can be estimated as being equal to the length of one of its sides cubed (volume = length of a side3).  What is the volume of the cube in cm3using this method? Show your work.

Complete each related rate problem. a) The edges of a square will grow at the rate of 3cm per minute, starting from length 4cm at time 0. At what rate is the area of the square changing after 3 minutes?