A close box made of wood 1cm thick has ecteenal dimensions 20cm by 15cm by10 cm.find the mass of the empty box.if one cubid decimeter of wood weight 1kg?

Here’s what I got.

The idea here is that you need to determine the volume of the wood needed to make the box. To do that, you will have to consider two boxes

  • an “outside” box with the dimensions given to you in the problem
  • an “inside” box with the dimensions that take into account the wood’s thickness

The volume of the wood used to make the box will be the diference between these two volumes.

##V_”wood” = V_”outside” – V_”inside”##

I assume that “ecteenal” is actualy external. The volume of the outside box will be

##V_”outside” = “20 cm” xx “15 cm” xx “10 cm” = “3000 cm”^3##

Now, since the wood is ##”1 cm”## thick, it follows that the inside of the box will have the following dimensions – keep in mind that you need to take thickness into account on both sides of the box!

##V_”inside” = [20-(1+1)]”cm” xx [15 – (1+1)]”cm” xx [10-(1+1])”cm”##

##V_”inside” = “18 cm” xx “13 cm” xx “8 cm” = “1872 cm”^3##

The volume of the wood will thus be

##V_”wood” = “3000 cm”^3 – “1872 cm”^3 = “1128 cm”^3##

Convert this value to cubic decimeters to make it match the units you have for the of wood

##1128color(red)(cancel(color(black)(“cm”^3))) * “1 dm”^3/(10^3color(red)(cancel(color(black)(“cm”^3)))) = “1.128 dm”^3##

Now use the given to find the mass of this volume of wood

##1.128color(red)(cancel(color(black)(“dm”^3))) * “1 kg”/(1color(red)(cancel(color(black)(“dm”^3)))) = “1.128 kg”##

I’ll leave the answer rounded to two

##m_”box” = color(green)(“1.1 kg”)##

Show more

Calculate Your Essay Price
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Order your essay today and save 10% with the coupon code: best10