cube of the length

USAGE SUMMARY

The phrase "cube of the length" is correct and usable in written English.
It can be used in mathematical or scientific contexts when referring to the volume of a three-dimensional object, where the length of a side is cubed. Example: "To find the volume of the cube, calculate the cube of the length of one side."

✓ Grammatically correct

Science

Wiki

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

It can be noted that since the volume will roughly scale as the cube of the length of the considered object, even a relatively small improvement in resolution may have an impact on what tumour volumes may be accurately estimated.

EJNMMI Research

The relaxation time to reach the metastable configuration is found to be proportional to the logarithm of the number of dislocations and to the cube of the length of the boundary.

Acta Materialia

The condition factor is an expression of the condition of the fish based on the assumption that weight is proportional to the cube of the length of the fish, such that the condition factor is higher when fish are more spherical.

Genetics, Selection, Evolution

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

In general, the sensing volume will vary proportionally with the cube of the decay length simply because it is a three-dimensional volume subtended by the decay length.

ACS Nano

The execution time for all codes scales as the cube of the sequence length for large sequences.

Algorithms for Molecular Biology

To account for the differential contribution of each age class within each cohort due to differences in fecundity, the weighting parameter was set as the cube of the average length of the fish within the age class.

Evolutionary Applications

While the easiest way to find a cube's volume is to cube the length of one of its sides, it's not the only way.

WikiHow

The late stage behaviour of all the three alloys obey classical laws of coarsening: (i) the microstructures are self similar, and (ii) the cube of the characteristic microstructural length scale increases linearly with time.

Acta Materialia

At first approximation, the difficulty of bringing an intron's termini together in our three-dimensional world is proportional to the cube of the intron's length.

Plosone

If the only piece of information you're given about a cube is the length of a 3-dimensional line segment stretching diagonally from one corner of the cube to the corner opposite it, it's still possible to find the volume of the cube.

WikiHow

When b = 3 growth is considered isometric, meaning that the weight of the body is closely proportional to the cube of its length.

International Aquatic Research

Expert writing Tips

Best practice

When discussing volume calculations, clarify that "cube of the length" refers to multiplying the length by itself three times. This helps avoid ambiguity, especially for those unfamiliar with mathematical terminology.

Common error

Avoid confusing "cube of the length" with calculations of surface area. The cube of the length specifically refers to volume, whereas surface area involves squaring the length and multiplying by the number of faces.

Linguistic Context

The phrase "cube of the length" functions primarily as a noun phrase, often used in mathematical or scientific contexts to describe a volume calculation. It specifies the result of raising a length measurement to the third power, a fundamental concept in geometry and physics. As Ludwig AI suggests, it's correct and usable.

Expression frequency: Rare

Frequent in

Science

60%

Wiki

20%

Encyclopedias

10%

Less common in

News & Media

3%

Formal & Business

3%

Reference

1%

Ludwig's WRAP-UP

The phrase "cube of the length" is a mathematically precise term primarily used in scientific and technical contexts to describe volume calculations. As Ludwig AI confirms, it is grammatically correct and best suited for formal writing. While its usage is relatively infrequent, it's important to distinguish it from related concepts like surface area. Alternatives such as "length cubed" provide more concise options for expressing the same mathematical relationship. Therefore, understanding the contexts and proper usage of "cube of the length" is key for accurate and effective communication in technical fields.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

length cubed

This is a more concise way of expressing the same mathematical operation.

cubic length

Concise term referring to length as a measurement of volume.

length raised to the third power

This alternative uses more formal mathematical terminology.

third power of the length

Similar to 'length raised to the third power' but emphasizes 'power'.

length to the power of three

A more verbose way to describe the same mathematical concept.

characteristic length cubed

Specifies that the length is representative of a particular dimension.

volume based on linear dimension

This phrase describes the relationship between length and volume.

volume as a function of length

Focuses on the functional relationship between length and volume.

size raised to the third power

A substitution of "length" to size which can fit certain physical sizes (tumor, etc.).

third order of magnitude of the length

Highlights the significant increase due to cubing.

FAQs

How do you calculate the "cube of the length"?

To calculate the "cube of the length", you multiply the length by itself three times: length * length * length. This calculation is used to determine the volume of a cube.

When is it appropriate to use the phrase "cube of the length"?

The phrase "cube of the length" is appropriate when discussing the volume of a cube or when explaining relationships where one quantity is proportional to the cube of another, such as weight and "body length" in biology.

What is a simpler way to say "cube of the length"?

A simpler way to say "cube of the length" is "length cubed". Both phrases mean the same thing.

How does the "cube of the length" relate to surface area?

The "cube of the length" calculates volume, while surface area is calculated by squaring the length and multiplying by the number of faces. They are different measurements of a three-dimensional object.