Optimizing Measurements: Volume/Surface Area of square-based prism

[.chelsea]

2. You need to ship USB cables in a small cardboard square-based prism box. The box must have a capacity of 750 cm⁸ but use the smallest amount of cardboard.

(a) What are the dimensions of the box?
(b) How much cardboard will you be using?

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I need some help with how I do this question, step by step please. I am a little confused on how to find out the dimensions with only the information given.

 

[mmm4444bot]

2. You need to ship USB cables in a small cardboard square-based prism box. The box must have a capacity of 750 cm⁸ but use the smallest amount of cardboard.

(a) What are the dimensions of the box?
(b) How much cardboard will you be using?

---

I need some help with how I do this question, step by step please.…

This is a tutoring web site; we do not provide step-by-step solutions.

Please read the forum guidelines.

Show us what you've been able to do, so far. Which part of this exercise is confusing?

 

[.chelsea]

Sorry. I am having a lot of trouble figuring out what I need to start off with. I don’t know what formulas to use, or if I’m supposed to be using another way to do this.


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[mmm4444bot]

… I don’t know what formulas to use.

There are two formulas. One is for the volume of a rectangular prism, and the other is for the surface area. Do you know these formulas?

 

[.chelsea]

Do you know these formulas?

Yes, I know those formulas. I have figured out the question, a friend talked me through what I needed to start with and how to find the dimensions. Thank you, anyway.


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[stapel]

Yes, I know those formulas. I have figured out the question, a friend talked me through what I needed to start with and how to find the dimensions.

For other students who may encounter similar difficulties, kindly please reply with what was causing you the confusion and where you were getting stuck. Thank you!