# Volume of a Rectangular Hopper Calculator

Hoppers are most commonly used in the industrial and farming fields. A tapered hopper is generally in the shape of a pyramid or cone which is turned upside down with a large top that tapers down to a smaller bottom. This online volume of a rectangular hopper calculator is used to find the capacity of the given values. enter the length, width of rectangular bases and height between the bases in the rectangular tapered hopper volume calculator and click calculate.

## Rectangular Tapered Hopper Volume Calculator

Hoppers are most commonly used in the industrial and farming fields. A tapered hopper is generally in the shape of a pyramid or cone which is turned upside down with a large top that tapers down to a smaller bottom. This online volume of a rectangular hopper calculator is used to find the capacity of the given values. enter the length, width of rectangular bases and height between the bases in the rectangular tapered hopper volume calculator and click calculate.

Code to add this calci to your website

#### Formula:

V = (H / 3) [(X^{2}Y - x^{2}y) / (X - x)]
**Where,**
V = Volume
H = Height between Bases
X = Length of Upper Rectangular Base
Y = Width of Upper Rectangular Base
x = Length of Lower Rectangular Base
y = Width of Lower Rectangular Base
### Example:

Find the volume of the hopper if the length of the upper and lower rectangular bases are 10 cm, 5cm and the width of the upper and lower rectangular bases are 6cm and 3cm and the height between two bases is 7cm.

#### Solution:

Rectangular Tapered Hopper Volume

= 7 / 3 [(10^{2} x 6) - (3^{2} x 5)) / (10-3)]

= 185 cm^{3}