How to Convert Cubic Foot to Linear Foot

Cubic units can be expressed as the product of one-dimensional units.
••• Hemera Technologies/PhotoObjects.net/Getty Images

Cubic measurements, used to quantify volume or capacity, are identified by their units, which are raised to the third power. The cubic exponent indicates that the measurements describe three-dimensional space. Three-dimensional space is a product of two- and one-dimensional space. In turn, two-dimensional or planar space is the square of one-dimensional or linear space. As a result of this simple mathematical relationship, cubic dimensions such as cubic feet can be reduced to the product of linear dimensions. Common linear dimensions are inches, feet, yards, or miles.

    Write the cubic foot as the linear unit raised to the power of three. For example, one cubic foot is written as 1 foot^3.

    Express the cubic unit as a product of planar and linear units. Planar units have an exponent of 2, while linear units have an exponent of 1. For example, 1 foot^3 = (1 x 1) foot^(2+1) = 1 foot^2 x 1 foot^1.

    Note that when factorizing the cubic term, the coefficients of the factorized units are multiplied to produce the cubic unit, but the exponent values are always added. The coefficient is the value that precedes the unit. For example, in the case of 3 feet^2, the coefficient is 3 and the exponent is 2.

    Reduce the planar units to linear units. For example, 1 foot^2 = 1 foot^1 x 1 foot^1 = (1x1) foot^(1+1). When the exponent has a value of 1, it is not required to write the exponent. For example, foot^1 may also be written as foot.

    Write the cubit unit as a series of factors comprising linear units. For example, 1 foot^3 = 1 foot x 1 foot x 1 foot = (1 foot)^2 x (1 foot)^1 = (1 foot)^1 x (1 foot)^1 x (1 foot)^1 = (1 foot)^(1 + 1 +1).

Related Articles

How to Calculate Cubic Yards
How to Factor Binomial Cubes
How to Convert Kilopascals to Joules
How to Convert an Area to Square Feet
How to Calculate the Volume of a Cylinder
How to Solve a Parabola
How to Calculate the Degree of Polymerization
What Are Representative Particles of Elements?
How to Evaluate Logarithms With Square Root Bases
The Foil Method With Fractions
How to Convert Square Meters to Linear Yards
How to Convert Meter to Liter
How to Change MSF to Linear Feet
How to Write an Equivalent Fraction With a Given Denominator
How to Find a Cubic Foot
How to Calculate SCFM
How to Convert mW to mA
What Is the Unit for Enthalpy?
How to Calculate Square Feet in a Triangle

Dont Go!

We Have More Great Sciencing Articles!