| Problem |
Hint |
1) When Daisy was on vacation in California, she took a picture of herself in front of a giant redwood tree. She is 5 feet 4 inches tall. In the picture she is 2 inches tall. The tree is 3 inches wide in the picture. What is a good estimate for the circumference of the real tree? Express your answer in whole numbers of feet. Use  = 3.14 if needed. |
1. Find the ratio of Daisy's height to the height in the picture = _____
2. Apply this ratio to the tree's width in the picture. Tree width = _____
3. Using this as a circular diameter, D, compute the circumference of the tree = _____
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2) Nadia wants to run a marathon in June. When she started training in early March, she could only run for 15 minutes and go a distance of one mile in that time. By early April she
was running for 35 minutes at a time and her speed had gone up by 30%. How far did she run per day in early April? Round to the nearest tenth of a mile.
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1. Nadia's speed in March is _____ min/mile.
2. Using this, compute her speed in April = ____ min/mile.
3. Divide her April running time by her new speed to get the distance she ran = ___________
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3) A regular sheet of 8 1/2 x 11 inches piece of paper is
folded in two different ways to make a square prism with
missing ends. See diagram for fold lines, diagram is not to
scale. If you add the missing square ends to each prism
by cutting them out from other paper, what is the difference
in surface area between the two prisms? Express your
answer as a mixed number or rounded to the nearest
tenth.
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1. For the prism made from the first picture, folded along the
8 1/2 inch side, the sides of the end square are _____ in.
2. Compute the surface area of this prism, adding the
2 missing square ends = _____ sq. in.
3. For the prism made from the second picture, folded
along the 11 inch side, the sides of the end square are _____ in.
4. Compute the surface area of this prism, adding the
2 missing square ends = _____ sq. in.
5. Take the difference between these 2 surface areas = _____
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