Question
a storage bin is 2m with vertical sides and a cross section in the form of a trapezium, height 1.5meters base 1 is 1,2m and base 2 is 1m
what is the capacity of the bin
what is the capacity of the bin
Answers
GPT 3.5
To find the capacity of the bin, we first need to calculate the area of the cross section.
The area of a trapezium can be calculated using the formula:
Area = ((base 1 + base 2) / 2) * height
Plugging in the values:
Area = ((1.2 + 1) / 2) * 1.5
Area = (2.2 / 2) * 1.5
Area = 1.1 * 1.5
Area = 1.65 square meters
Now, to find the volume of the bin, we multiply the area of the cross section by the length of the bin:
Volume = Area * length
Volume = 1.65 * 2
Volume = 3.3 cubic meters
Therefore, the capacity of the bin is 3.3 cubic meters.
The area of a trapezium can be calculated using the formula:
Area = ((base 1 + base 2) / 2) * height
Plugging in the values:
Area = ((1.2 + 1) / 2) * 1.5
Area = (2.2 / 2) * 1.5
Area = 1.1 * 1.5
Area = 1.65 square meters
Now, to find the volume of the bin, we multiply the area of the cross section by the length of the bin:
Volume = Area * length
Volume = 1.65 * 2
Volume = 3.3 cubic meters
Therefore, the capacity of the bin is 3.3 cubic meters.