A community for students.
Here's the question you clicked on:
 0 viewing
 3 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?
 3 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

Qwerty90
 3 years ago
Best ResponseYou've already chosen the best response.0Like would I need more values than this? I am trying to think of the formula for this

Directrix
 3 years ago
Best ResponseYou've already chosen the best response.1Cube the scale factor. (1/3)^3 = 1/27 ratio of original volume to volume of enlarged prism. 27*5 = 135

ash2326
 3 years ago
Best ResponseYou've already chosen the best response.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 \[New Volume=27 \times5=135 m^3 \]

Qwerty90
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks! and yes I did think about it and got my answer even before you got it so we were like mixing brains

Directrix
 3 years ago
Best ResponseYou've already chosen the best response.1Scale 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.
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.