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 1.5m

what is the capacity of the bin

1 answer

To find the capacity of the bin, we need to calculate the volume of the trapezoidal cross section and then multiply it by the length of the bin.

The formula to calculate the volume of a trapezoidal prism is given by:
Volume = (1/2) * height * (base1 + base2) * length

Given:
height = 1.5m
base1 = 1.2m
base2 = 1.5m
length = 2m

Volume = (1/2) * 1.5 * (1.2 + 1.5) * 2
Volume = 0.5 * 1.5 * 2.7 * 2
Volume = 1.35 * 2.7 * 2
Volume = 7.29 cubic meters

Therefore, the capacity of the storage bin is 7.29 cubic meters.