Maximizing Volume Formula for Given Box Dimensions and Cut Size

In summary, Open Box Optimisation is a technique used in computer science and engineering to optimize a system by iteratively adjusting its parameters. It is often used in fields such as artificial intelligence, machine learning, and data mining. This approach allows for an efficient and systematic way of finding the optimal solution and can be applied to a variety of problems. However, it does have limitations, such as requiring a well-defined problem and measurable objective function, and may struggle with high-dimensional or non-linear problems.
  • #1
Shakattack12
24
2

Homework Statement


A box is given with a L = 1.414w and W = w and a cut size = x. Find the general formula for the maximum volume.

Homework Equations


L = 1.414w - 2x
W = w - 2x
H = x

The Attempt at a Solution


V = x(1.414w - 2x)(w - 2x)
V = 4x3 - 4.818x2w + 1.414w2
Apparently this isn't the general formula for max volume, so someone please help.
 
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  • #2
Never mind guys. I figured it out.
 
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FAQ: Maximizing Volume Formula for Given Box Dimensions and Cut Size

What is Open Box Optimisation?

Open Box Optimisation is a technique used in computer science and engineering to optimize a system by adjusting its parameters in a systematic and efficient manner. It is often applied in fields such as artificial intelligence, machine learning, and data mining.

How does Open Box Optimisation work?

Open Box Optimisation works by iteratively adjusting the parameters of a system and evaluating the resulting performance. This process is repeated until the optimal combination of parameters is found.

What are the benefits of using Open Box Optimisation?

Open Box Optimisation allows for an efficient and systematic approach to optimization, saving time and resources compared to traditional trial-and-error methods. It also ensures that the optimal solution is found, rather than settling for a sub-optimal one.

What types of problems can be solved using Open Box Optimisation?

Open Box Optimisation can be applied to a wide range of problems, such as feature selection, parameter tuning, and model selection. It is particularly useful for complex systems with many parameters that need to be optimized.

Are there any limitations to Open Box Optimisation?

Like any optimization technique, Open Box Optimisation has its limitations. It requires a well-defined problem and a measurable objective function. It may also struggle with high-dimensional problems or those with non-linear relationships between parameters and performance.

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