A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Kailee1423

  • one year ago

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

  • This Question is Closed
  1. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @phi I would know how to do this if it wasn't for the slant height. How do I make it a regular height?

    1 Attachment
  2. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441659885410:dw|

  3. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1441659931267:dw|

  4. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    not my best drawing. but the idea is the height from the top to the base lands exactly in the center of the square. the distance to a side is 1/2 the distance across, so 5

  5. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if we concentrate on the triangle |dw:1441660064080:dw|

  6. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So 5 squared + 13 squared = h squared? That would be 194 = h squared. DO I dived 194 by 2 now?

  7. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    divide*

  8. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in \[ a^2 + b^2 = c^2 \] c is *always* the hypotenuse (the longest side) in this problem, the 13 is the hypotenuse

  9. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh ok. I should've known that. Lol. So h squared + 5 squared = 13 squared. (I don't know how to put the equation on here)

  10. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you could type h^2 +5^2 = 13^2 5^2 means 5*5 13^2 means 13*13

  11. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok. Thanks! Lol and then once you solve that you do it exactly like the last problem we did?

  12. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes. what do you get for h^2 ?

  13. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    h^2+5^2=13^2 h^2=13^2-5^2 h^2=144 144/2=72 Did I do that right?

  14. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    h^2=144 ok. now take the square root of both sides. (h^2/2 does not "undo" the square)

  15. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the idea is \( \sqrt{h^2 } =h \) so we do that to both sides

  16. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I did the sqare root of 144 on my calcalator and I got 12.

  17. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, h=12 as a check you can do 5^2 + 12^2 and it should give 13^2 (and it does)

  18. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    btw, (some) people memorize 3,4,5 as forming a right triangle (5 is the hypotenuse) and also 5,12,13 is a right triangle. there are lots more, but these two show up on tests a lot.

  19. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok I have one more question to post. I hope I'm not bothering you!

  20. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what did you get for the volume. (it would be a shape to make a mistake now)

  21. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1200?

  22. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is the formula for the volume of a pyramid?

  23. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1/3BH

  24. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    put in numbers for B and h

  25. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh it's 400. I forgot to put the 1/3 when I first did it

  26. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, 400

  27. Kailee1423
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That would have been a simple mistake lol Thanks

  28. 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.