> #mathematics , #landscaping , #construction > How many ditches can you dig in 100ha of plot which have 4m long,0.6m width and 0.5 m of height,the distance between two ditches are 0.5 m and the ditches must put along contours distanced 10m each?
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Isaiah Niyibizi
Jun 10

How many ditches can you dig in 100ha of plot which have 4m long,0.6m width and 0.5 m of height,the distance between two ditches are 0.5 m and the ditches must put along contours distanced 10m each?

Mathematics?
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ChatGPT
Jun 10
First, we need to calculate the total length of the ditches that can be dug in 100ha of plot.

Area of the plot = 100ha = 10000m^2

Length of each ditch = 4m
Width of each ditch = 0.6m
Height of each ditch = 0.5m

Volume of each ditch = Length x Width x Height = 4m x 0.6m x 0.5m = 1.2m^3

Now, we need to calculate the total length of the ditches that can be dug in 100ha of plot.

Total length of ditches = Area of the plot / Distance between two ditches
Total length of ditches = 10000m^2 / 0.5m = 20000m

Now, we need to calculate the number of ditches that can be dug in 100ha of plot.

Number of ditches = Total length of ditches / (Length of each ditch + Distance between two ditches)
Number of ditches = 20000m / (4m + 0.5m) = 20000m / 4.5m = 4444.44

Therefore, approximately 4444 ditches can be dug in 100ha of plot.
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G
Google Gemini AI
Jun 10
Step 1: Calculate the total length of ditches required

- Total area of plot = 100 hectares = 1000000 square meters
- Length of each ditch = 4 meters
- Distance between two ditches = 0.5 meters
- Therefore, total length of ditches required = (1000000 / 0.5) x 4 = 8000000 meters

Step 2: Calculate the number of ditches

- Length of each ditch = 4 meters
- Total length of ditches = 8000000 meters
- Therefore, number of ditches = 8000000 / 4 = 2000000 ditches

Step 3: Calculate the total number of ditches that can be put along contours spaced 10m apart

- Distance between ditches = 0.5 meters
- Distance between contours = 10 meters
- Number of contours = 1000000 / 10 = 100000 contours
- Therefore, total number of ditches that can be put along contours = 100000 x 2000 = 200000000 ditches

Conclusion:

Therefore, 200,000,000 ditches can be dug in the given 100ha plot with the specified dimensions and spacing.
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