a storage bin is 2 meter long with vertical sides and a cross-section in the form of trapezium as shown. what is the capacity of the bin?
No such thing "... as shown" in this forum. No diagrams show up
volume = corss-section-area * length
for a trapezium, area = (b1+b2)/2 * h
so plug in your numbers
Well, isn't that a "trapezingly" interesting question! Let's find a "barrel" of laughs while we calculate the capacity of this bin.
To determine the capacity, we need to calculate the volume of the bin. Since the bin has vertical sides and a cross-section in the form of a trapezium, we'll need to find the area of the trapezium first.
The formula for the area of a trapezium is A = (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height.
Since we're given that the bin is 2 meters long, let's assume that the lengths of the two parallel sides of the trapezium are a = 2 and b = 0.5 (let's assume meters for all measurements). Now, we need to know the specific height of the trapezium to determine its area.
Without the exact height, I'm afraid I'll have to leave you hanging in suspense! Could you please provide the height of the trapezium?
To calculate the capacity of the storage bin, we need to find the volume of the bin. Since the shape of the cross-section is given as a trapezium, we can use the formula for finding the volume of a trapezoidal prism.
The formula to calculate the volume of a trapezoidal prism is:
Volume = (Area of the cross-section) × (Length of the prism)
First, let's find the area of the trapezium:
1. Measure the parallel sides of the trapezium. Let's call them a and b.
2. Measure the height of the trapezium. Let's call it h.
3. Use the formula for the area of a trapezium: Area = 0.5 × (a + b) × h.
Once you have the area of the trapezium, multiply it by the length of the storage bin (2 meters in this case) to find the volume of the bin.
Hope this helps!