Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

clavoie

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.

  • one year ago
  • one year ago

  • This Question is Closed
  1. thatjacksonguy
    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!

    • one year ago
    • Attachments:

See more questions >>>

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.