Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Qwerty90

  • 2 years ago

A triangular prism has a volume of 5 m3. If each dimension of the prism is tripled, what is the new volume of the prism?

  • This Question is Closed
  1. Qwerty90
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Like would I need more values than this? I am trying to think of the formula for this

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

    135 cubic meters

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

    Cube the scale factor. (1/3)^3 = 1/27 ratio of original volume to volume of enlarged prism. 27*5 = 135

  4. ash2326
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Qwerty90 I'd showed you yesterday also. Volume= Area of base * height Area of base= \(\frac{\sqrt 3 a^2}{2}\) Height= h Volume= \[\frac{\sqrt 3 a^2}{2}\times h\] We are given volume as 5 m^3, so \[5=\frac{\sqrt 3 a^2}{2}\times h\] Now each of the dimensions are tripled so new side of equilateral triangle = 3a New height=3h Now Volume=\[\frac{\sqrt 3 (3a)^2}{2}\times 3h\] we get \[New Volume=9\times 3\frac{\sqrt 3 (a)^2}{2}\times h\] or \[New Volume=27 \times\frac{\sqrt 3 (a)^2}{2}\times h\] We know that \[5=\frac{\sqrt 3 a^2}{2}\times h\] so \[New Volume=27 \times5=135 m^3 \]

  5. Qwerty90
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks! and yes I did think about it and got my answer even before you got it so we were like mixing brains

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

    Scale Factor The ratio of any two corresponding lengths in two similar geometric figures. Note: The ratio of areas of two similar figures is the square of the scale factor. The ratio of volumes of two similar figures is the cube of the scale factor.

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.