Transcript week4problems.ppt

NAME _________________________
NAME _________________________
NAME _________________________
Problem-solving with MATLAB
Week 4: Computing volumes: cubic
feet, gallons, measuring water
Building a swimming pool
Suppose you are building a swimming pool
30 ft long, 15 ft wide and 4 ft deep.
a) Edge tiles are 1 ft long and go around
the entire edge of the pool. They cost $2.39
each. How much is the total cost of all the
edge tiles?
b) Evaporation from the pool
depends on the surface area of
water next to air. What is this
surface area in sq ft? (Similar to
part of our Lake Lansing problem.)
Swimming pool problem continued
c) The concrete contractor says
you need 3 cubic yards of
concrete. How many cubic ft is
this? If each cubic ft of concrete
weighs 200 pounds, how much
does all the concrete weigh?
(Think carefully about how many
cubic ft are in one cubic yard.)
d) The fire company will fill up
your pool for 5 cents per gallon.
How much will this cost you?
(First, write down in English how
you will compute this.)
How many gallons in Lake Lansing?
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See the figure below
Lake surface area in square ft _________
How computed? ____________________
Average lake depth in ft ______________
Volume of lake in cubic ft _____________
How computed? ____________________
Volume of lake in gallons _____________
How computed? ____________________