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## Geometry Problem Set Show your work AND explain your reasoning (this is the why not the how) in complete English sentences. Explanations must directly foll

Directions:
1. Solve the following problems. Write your solutions and explanations on
your own paper between standard notebook size (8×10.5) and standard
typing paper size (8.5×11). You must use pencil (no pens). Using a pen will
result in a grade of 0.
sentences.
3. You need to put the title above on your paper and put your name on the top
4. All the papers for
your group must be picked up together by instructor or IA.
1. [5 pts] A rectangular swimming pool measures 14 feet by 30 feet. The pool is
surrounded on all four sides by a path that is 3 feet wide. If the cost to
resurface the path is \$2 per square foot, what is the total cost of
resurfacing the path?
2. [5 pts] A couple wishes to replace the carpeting in their master bedroom.
Their master bedroom measures 24 ft by 16 ft. If carpeting is sold by
the square yard, how many square yards of carpeting are needed?
(Round to 1 decimal place and be sure to include units.)
3. The Great Pyramid outside Cairo, Egypt, has a square base measuring 756 feet
on a side and a height of 480 feet.
a. [6 pts] What is the volume of the Great Pyramid, in cubic yards?
b. [4 pts] The stones used to build the Great Pyramid were limestone blocks
with an average volume of 1.5 cubic yards. Assuming a solid
pyramid, how many of these blocks were needed to construct the
Great Pyramid?