Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The volume of a rectangular prism is 768 ft3. What is the volume of the same shape if the width is changed by a scale factor of 13?

Sagot :

whitneytr12

Answer:

The volume is:

[tex]V_{2}=9984\: ft^{3}[/tex]

Step-by-step explanation:

The equation of the volume of a rectangular prism is:

[tex]V=L*W*H[/tex]

Where:

  • L is the length
  • W is the width
  • H is the height

We know the volume is 768 ft³ and the new width change a 13 factor, in other words, W(2) = 13W(1), so we can divide each equation of the volume to find the new volume.

[tex]\frac{V_{1}}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]

[tex]\frac{768}{V_{2}}=\frac{L*W*H}{L*W*13H}[/tex]

L and W remain constant.

Therefore, we just need to solve it for V(2).

[tex]\frac{768}{V_{2}}=\frac{1}{13}[/tex]

[tex]V_{2}=13*768=9984\: ft^{3}[/tex]

I hope it helps you!

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.