Texts:
1.) Consider a small garden shed with a flat roof that is 2m x 2m x 2m (it is a perfect cube).
a. Find the perimeter, volume, and surface area (all 4 walls + floor + ceiling) of this shed.
b. Find the perimeter, volume, and surface area of the shed if its length and width are doubled.
c. If the cost of the shed is proportional to the surface area, by what factor has the cost of building this larger shed increased compared to the smaller shed?
2.) The speed of waves in shallow water depends only on two things: the depth of the water, D, and the acceleration due to gravity g (which has units m/s^2). Which of the following could be the correct formula for the speed of the waves in terms of D and g? Explain your reasoning.
a. v = Dg
b. v = D/g
c. v = √Dg
d. v = √D/g
e. v = D^2g