Calculators
Cube Variation Calculator
Find the constant and a new y value for cube variation y = kx³ from a known pair and a new x value.
For cube variation, y = k × x³. Enter a known x and y pair and a new x value to find y₂ = k × x₂³. Use positive values from 1e-12 to 1e12. Calculations stay in your browser.
Calculate direct proportionality to a cube.
Cube variation follows y = kx³. Find k = y₁/x₁³, then y₂ = kx₂³, equivalently y₁(x₂/x₁)³. For x₁ = 2 and y₁ = 12, k = 1.5. At x₂ = 4, y₂ = 96. Doubling x multiplies y by eight; tripling x multiplies y by 27. Use this model only when cube proportionality is established. It does not fit a general cubic with other terms or an offset. Enter three positive values from 1e-12 to 1e12 inclusive. Decimals and scientific notation are supported; zero and negative inputs are excluded. Keep old and new x in the same units. The constant has units of y divided by x cubed. Results use browser floating-point arithmetic rounded to 12 significant digits. Calculations stay in your browser.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
How do I calculate cube variation?
Divide known y by known x cubed to find k, then multiply k by the new x cubed. For x = 2 and y = 12, k = 1.5; at x = 4, y = 96.
What happens when x doubles?
For y = kx³, doubling x multiplies y by eight. Square variation multiplies y by four and direct variation doubles y.
Can this solve any cubic relationship?
No. It assumes y = kx³ with no other terms or constant offset. A known pair determines k; the calculator does not infer the model from data.
Which inputs are supported and are results private?
Enter three positive decimals or scientific notation from 1e-12 to 1e12 inclusive. Keep x units consistent. Calculations stay in your browser and display up to 12 significant digits.