Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Explain how you can find the side length of a rectangular prism if you are given the volume and the 2 other measurements. Does this process change if one of the measurements is a fraction?

Sagot :

yersanabria

Answer:

The volume of a rectangular prism can be calculated by the formula:

  • Volume of a rectangular prism = length * width * height

If the exercise give us the volume and the two other measurements (width and height), we must simplify the length from the formula showed (remember when a value is multiplying in a side to the equal sign, go to the other side to divide):

  • (Volume of a rectangular prism) / (width * height) = length

Or, in other form:

  • [tex]length=\frac{volume}{width*height}[/tex]

At last, the proccess change only a little if one is a fraction, in that case, you should just multiply or divide with that fraction.

Step-by-step explanation:

We're gonna take measurements for the volume, width and height to solve a hypothetical exercise:

  • Volume = 240 [tex]in^{3}[/tex]
  • Width = 4 in
  • Height = 12 in

We use the formula in the answer:

  • [tex]length=\frac{volume}{width*height}[/tex]

Replacing the data we obtain:

  • [tex]length=\frac{240in^{3} }{4 in *12in }[/tex]
  • [tex]length=\frac{240in^{3} }{48in^{2} }[/tex]
  • [tex]length=[/tex] 5 inches

Now, we're gonna make the a hypothetical exercise where a measurement is a fraction, we can select anyone, in this case will be the width:

  • Volume = 48 [tex]in^{3}[/tex]
  • Width = 8/3 in
  • Height = 6 in

We use the same formula and replace again:

[tex]length=\frac{volume}{width*height}[/tex]

  • [tex]length=\frac{48in^{3} }{\frac{8}{3}in *6 in}[/tex]
  • [tex]length=\frac{48in^{3} }{16in^{2} }[/tex]
  • [tex]length=[/tex] 3 inches

As you can see, the process does't change much using fractions, you must only know the correct form to operate these.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.