Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sue101

  • 2 years ago

If the scale factor of two similar solids is 3 : 11, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes?

  • This Question is Closed
  1. mathmate
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Areas are proportional to the square of the ratios, and volumes, cubes. Example: scale factor: 2:5 ratio of areas: 2^2:5^2 =4:25 ratio of volumes : 2^3 : 5^3 = 8 : 125 This is because for areas, we multiply together two dimensional units, and for volumes, three.

  2. mayankdevnani
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Recall that if the linear dimensions of two similar solids are in ratio a:b, then their surface areas are in ratio a^2:b^2 and their volumes are in ratio a^3:b^3... Since the side lengths of two similar solids are in ratio 3:7, their volumes are in ratio 3^3:11^3 = 27:1331..... ok @sue101

  3. sue101
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok thanks!!

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.