Surface Area to Volume Calculator

Enter the cross-sectional (base) area (ft^2) and the length (ft) into the Volume From Surface Area Calculator. This calculator uses the prism/extrusion relationship where volume equals cross-sectional area times length (this is not total exterior surface area). The calculator will evaluate and display the volume.

Volume From Area (Cross-Section) Formula

The following formula is used to calculate volume when a shape has a constant cross-section (for example, a prism or cylinder). Here, A is the cross-sectional/base area perpendicular to the length—this is not total exterior surface area.

V = A * L

Where V is the volume (ft^3)
A is the cross-sectional (base) area (ft^2)
L is the length (ft)

To calculate the volume from cross-sectional area, multiply the area by the length.

Area to Volume Conversion Table (V = A × L)
Area (sq ft)	Length (ft)	Volume (cu ft)
10	0.5	5
10	1	10
10	2	20
50	0.5	25
50	1	50
50	2	100
100	0.5	50
100	1	100
100	2	200
150	0.5	75
150	1	150
150	2	300
200	0.5	100
200	1	200
200	1.5	300
250	1	250
250	2	500
300	0.5	150
300	1	300
400	1	400
Assumes consistent units: area in square feet and length in feet. Volume is computed as V = A × L and expressed in cubic feet.

How to Calculate Volume From Surface Area?

The following example problems outline how to calculate volume from cross-sectional (base) area and length.

Example Problem #1:

First, determine the cross-sectional (base) area (ft^2).
1. The area (ft^2) is given as: 500.
Next, determine the length (ft).
1. The length (ft) is provided as: 30.
Finally, calculate the volume using the equation above:

V = A * L

The values given above are inserted into the equation below:

V = 500 * 30 = 15,000 (ft^3)

Example Problem #2:

The variables needed for this problem are provided below:

cross-sectional (base) area (ft^2) = 700

length (ft) = 2

Entering these values and solving gives:

V = A * L = 700 * 2 = 1,400 (ft^3)