Mike Mulligan and his Steam Shovel Math Curriculum Guide
- MaryAnn dug as much in a day as one hundred men could dig in a week. If she dug 5 tons of dirt in a day, how many pounds would each of the hundred men have dug in a week? What about 8 tons? 9.5 tons?
- MaryAnn dug the town hall cellar with four corners neat and square. What are those “square” angles called? If all four angles are square, then the opposing sides of the cellar are related in what way? What about the adjacent sides?
- If the cellar is a square and one wall is 25 feet long, what is the perimeter of the cellar room? How much carpet would they need for the cellar (*hint - find the area*)?
- If MaryAnn dug a cellar that was 13 feet deep, 30 feet long and 24 feet wide, how many cubic feet of dirt did she dig? What if the cellar was 15 by 40 by 20?
5 tons = 10,000 lbs. Divide by 100 men. Each man dug 100 lbs. of dirt in a week.
8 tons = 16,000 lbs. Divide by 100 men. Each man dug 160 lbs. in a week.
9.5 tons = 19,000 lbs. Divide by 100 men. Each man dug 190 lbs. in a week.
Square angles are called “right” angles. If all four angles are square, the opposing sides are “parallel” and the adjacent sides are “perpendicular” to one another.
If the cellar is a square and each side is 25 feet long, the perimeter of the cellar is 100 ft. (side x 4).
The area (amount of carpet needed) would be 25 ft. x 25 ft., or 625 sq. ft.
If MaryAnn dug a cellar 13 x 30 x 24 (b x h x w), then she dug 9,360 cu. ft.
If the cellar was 15 x 40 x 20, she dug 12,000 cu. ft.
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