Water has a density of about 62.5 pounds per cubic foot. Snow has a lower density than water, but that density can vary greatly. Suppose snow that is falling and settling has a density of about 16 pounds per cubic foot. 8 inches of snow has fallen and you have to shovel a sidewalk that is 40 feet long and 5 feet wide. How much snow must you shovel?
40*5*2/3 = 133.33 ft^3 * 16lb/ft^3 = 2133.33 lb
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To determine the amount of snow you need to shovel, you need to calculate the volume of the snow. The volume of snow can be calculated by multiplying the area covered by the snow (sidewalk's length and width) by the snow's height (8 inches).
1. Convert the height of the snow from inches to feet:
8 inches = 8/12 = 2/3 feet
2. Calculate the area of the sidewalk:
Area = length × width
= 40 feet × 5 feet
= 200 square feet
3. Calculate the volume of snow:
Volume = Area × height
= 200 square feet × 2/3 feet
≈ 133.33 cubic feet
Therefore, you need to shovel approximately 133.33 cubic feet of snow.