Respuesta :
The slope of a log-log plot of the surface area per unit volume of a cube versus the volume of a cube is a straight line.
What is a log-log plot?
- A log-log graph, also known as a log-log plot, is a two-dimensional graph of numerical data used in science and engineering that use logarithmic scales on both the horizontal and vertical axes.
- Because fractal data typically follow a power law, log-log plots are frequently used to illustrate data that are anticipated to be scale-invariant (or "fractal").
- When estimating the parameters a and b from numerical data, these graphs can be helpful.
- In economics, such specifications are widely employed. Another method for calculating the fractal dimension of a naturally occurring fractal is log-log regression.
Calculation of slope:
When a cube's surface area is compared to its volume using logarithmic coordinates, the following equation can be shown as a straight line:
logSA = log 6 + 0.67 log V
relates to the line's equation, y = mx + b,
where,
logSA = y
0.67 = m
log V = x
log 6 = b
Hence, the slope of a log-log plot of the surface area per unit volume of a cube versus the volume of a cube is a straight line.
Learn more about surface area here:
https://brainly.com/question/17351910
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