Exam 18: Growth and Form

A casino plans to redecorate its courtyard, and the plans include a large marble sculpture of a six-sided die. The sculpture will be 3 meters tall. The density of marble is 2700 kg/m³ and the crushing strength of marble is 7734 kg/m². Find the pressure on the bottom face of the sculpture. What problem does your answer pose with regard to the feasibility of the sculpture?

Large trucks often have multiple wheels on an axle. How would multiple wheels allow trucks to carry heavier loads?

The minimum wage in 1999 was $5.15. What is the equivalent amount in 1942 dollars? (Assume the 1999 CPI is 166.2 and the 1942 CPI is 16.3.)

Are all circles similar? Why or why not?

A scale model of a truck is 1.5 inches high. If the actual truck is 9 feet high, what is the scaling factor of the model?

What is the maximum ability of a substance to withstand pressure without being crushed or deformed?

If points (0.4, 25) and (1.2, 53) lie on the graph of log y = B + a log x solve for a.

You want to copy a poster whose dimensions are 24 inches by 30 inches onto a piece of paper 8.5 inches by 11 inches. You want the image to be as large as possible, but maintain the proportions of the original poster. What are the dimensions of the image?

How many cubic centimeters are in 3 cubic meters?

You own a painting whose dimensions are 24 inches by 30 inches. If you create a slide of this work so that the longest side of the image is 1 inch, what is the area of the slide image?

You own a painting whose dimensions are 24 inches by 30 inches. If you create a slide of this work so that the longest side of the image is 1 inch, what is the length of the smaller side of the slide image?