A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 3 years ago

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area & volume of the cube as a function of the diagonal length.

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

    Each side of the cube has length x On one face of the cube, the diagonal is found using Pythagorean's Theorem a^2 + b^2 = c^2 Since this is a cube, a= b = x. And c^2 = sqrt(x^2 + x^2) , so c= sqrt(2x^2) Now d, the diagonal of the cube, can be found side it is formed by a triangle with a side of length x and a side of length sqrt(2x^2) So d^2=( sqrt(2x^2))^2 + x^2 d = sqrt(3x^2) Solving for x gives x=sqrt((d^2)/3) Each face has an area of x^2 = (d^2)/3 Surface area = 6 x ((d^2)/3). ( there are 6 faces on a cube) And volume is x^3 = (sqrt((d^2)/3))^3 That was not easy to type up on an iPad!

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wrong answer

  3. 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...


  • 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.