Question about Office Equipment & Supplies

1 Answer

Volume of triangular pyramid

So, I have a triangular based pyramid made of 3 congruent isosceles triangles, they are 9 cm by 11 cm by 9 cm, and it's 45 degree angles. What is the volume and formula?

Posted by on

Ad

1 Answer

  • Level 3:

    An expert who has achieved level 3 by getting 1000 points

    Superstar:

    An expert that got 20 achievements.

    All-Star:

    An expert that got 10 achievements.

    MVP:

    An expert that got 5 achievements.

  • Master
  • 7,993 Answers

Here is to get you started. To increase the size of the image do a CTRL Plus (+) in your browser.
You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of (1/2)*SQRT(203) or about 7.1239 cm

volume of triangular pyramid - 913b74c4-c453-4afa-be3a-c3e781816e8d.png

You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found), the measure of the second leg is (1/3) the altitude of the equilateral triangle that forms the base. You should find (1/3) m MH= (1/3)* (11/2)*SQRT(3)


1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).
2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).
3. Total area = area of base + lateral area.
4. Volume= (1/3)(Area of base)* (height of pyramid)
If you can see the details on the screen capture below, fine, Press CTRL + in your browser to increase the size.
1fbf065d-6c1d-440a-9069-783127aa9842.png

Posted on Mar 30, 2014

Ad

6 Suggested Answers

6ya6ya
  • 2 Answers

SOURCE: I have freestanding Series 8 dishwasher. Lately during the filling cycle water hammer is occurring. How can this be resolved

Hi,
a 6ya expert can help you resolve that issue over the phone in a minute or two.
Best thing about this new service is that you are never placed on hold and get to talk to real repairmen in the US.
New users get 2 Free calls (no credit card required) and instant help on almost anything you can think of (from cars to computers, appliances, handyman, and even pets).
click here to download the app (for users in the US for now) and get all the help you need.
Goodluck!

Posted on Jan 02, 2017

Ad

SOURCE: finding the length of a triangle

might try

(54tan)/45

I don't have a calc that will do it or I would try it and see.

Posted on Aug 01, 2008

BElectric
  • 1140 Answers

SOURCE: the old manual used to come with instructions to

Hi - welcome to Fixya.

You're refering to Trigonometry or 'Trig'. The basic formula is easily remembered as SOH-CAH-TOA:

SOH: Sine of an angle is Opposite over Hypotenuse **
CAH: Cosine of an angle is Adjacent over Hypotenuse **
TOA: Tangent of an angle is Opposite over Adjacent **

** See attached image below

I can't tell you which buttons to press on your calculator, but you can download a new manual from here:

http://www.retrevo.com/support/TI-TI-30Xa-Calculators-manual/id/421ci270/t/2/

The download page will open in a new Browser window. Scroll down a little and click on "Download the Manual". On the next page, scroll to the bottom and enter the 5-digit security code in the box then click "Download" now. You can then save the file to your PC and/or print it for future reference. You don't need to enter your email address to download the manual. If you can't open the manual you may also need to download the latest version of Adobe Reader:

http://get.adobe.com/reader/

If you have any trouble downloading the instruction manual or you have any further maths questions, please post back and I will be happy to assist you.

Regards,
BElectric.

Posted on Nov 23, 2010

  • 7993 Answers

SOURCE: The base of a cylinder has a diameter of 6.2 cm.

When you have to deal with problems of this sort, you usually are given recipes or mathematical formulas which you apply to find the result. It so happens that for the volumes of cylinders, the formula to use is
Volume = Area of the base times the height=Ab*h
If the cylinder is circular, then the area of the base is that of a disk, Ab=PI*r^2`where r is the radius.
In your case, you are given the diameter (twice the radius) and the height.
Volume =PI*h*(6.2/2)^2, the unit being cm^2

To type in the value of PI, press [2nd] [^] (the latter is key under CLEAR, and above the division sign.
To raise a number to power 2 (to square it), use the key marked x with a superscript 2, or x with a raised 2.
After you have typed in all necessary ingredients in the formula, press the [ENTER] key and the calculator will give you the result.

Now, it is your turn to do some mathematics.

Posted on Jun 16, 2011

Elessaelle
  • 122 Answers

SOURCE: given a length of 30 cm on the x axis and a length

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).

  1. Length of hypotenuse is square root of sum of squares of lengths of other two sides of triangle, which is equal to square root of 30^2+10^2=31.6 cm.
  2. Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
  3. Finally b=90-a=18.4 degrees.
elessaelle.png

If this was helpful please rate 4 thumbs :)

Posted on Sep 05, 2011

  • 102366 Answers

SOURCE: calculate in degrees, the angle subtended at the

About 146 and a half degrees.

If this is homework, make sure to show your work.

Posted on Oct 22, 2013

Testimonial: "thank you"

Add Your Answer

Uploading: 0%

my-video-file.mp4

Complete. Click "Add" to insert your video. Add

×

Loading...
Loading...

Related Questions:

1 Answer

The triangle has 3 congruent angles. does not have a ruler to measure the lengths of the sides. How can she show that the triangle has three congruent sides?


Three congruent angles means it is an equilateral triangle, so by definition it has 3 congruent sides. Or, by the Sine Rule of triangles

a/sinA = b/sinB = c/sinC

and since A = B = C (given) then a = b = c.
.

Apr 08, 2016 | Computers & Internet

1 Answer

What types of triangles


A triangle with two sides of equal length is an isosceles triangle. The side that is different from the other two is usually called the base, and the two angles at the base are equal.

Aug 01, 2014 | The Learning Company Achieve! Math &...

1 Answer

Draw the developnent of lateral surface of pentagonal pyramid of base side 30mm and axis height 60mm


You need 5 isosceles triangles with a base of 30 mm. To get the height of the triangles (perpendicular to the 30 mm bases) you need to calculate the apothem of the pentagon (assumed to be regular).

If you cut the pyramid by a plane passing through its apex, the center of the base-pentagon,and the midpoint of one side, the plane figure created by the three points (apex, center, and midpoint) is a right triangle. The legs are the apothem, and the altitude of the pyramid. The hypotenuse is the slant height of the pyramid, and is thus the height of the triangles in the development. pyramid (60 mm) form.
Use the Pythagorean Theorem to find that slant height.
s^2=a^2+h^2.

Nov 11, 2013 | Computers & Internet

1 Answer

Why triangle looks like a pyramid?


A pyramid is made of triangles, and the number of triangles for a particular pyramid base. For a square base pyramid - 4 triangles; pentagonal base - 5 triangles

Sep 26, 2011 | Riverdeep Mighty Math Cosmic Geometry...

2 Answers

Can you gave me a example of a right triangle problems?


In right triangle we are making 90 degree angle triangle, we can have problem for finding hypotenuse or finding sin or cos values of the side of the triangle. For ex,Find out the hypotenuse,sin and cos value of the right triangle with base 4 cm and perpendicular 3 cm Solution:Hypotenuse = SQRT(4^2 + 3^2) =SQRT(4*4 + 3*3) =SQRT(16+9)=SQRT(25)=5 cm For right triangle, sin(x)=3/5=0.6 cos(x)=4/5 =0.8

Jul 16, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

1 Answer

Need help in drawing a pyramid in microsoft poewerpoint .it should look like a maslow's hierachy pyramid


Assuming you want the triangle segmented, first, insert an Isosceles Triangle from the Basic Shapes list on the home screen for the top of the pyramid. Then, for the lower sections, use the Flowchart:Manual Operation symbol and flip it upside down. You'll need to play with the sizes a bit to get the look you want, but it shouldn't take too long.

Jul 14, 2009 | Microsoft Office PowerPoint 2007 Upgrade...

Not finding what you are looking for?
Office Equipment & Supplies Logo

Related Topics:

216 people viewed this question

Ask a Question

Usually answered in minutes!

Top Office Equipment & Supplies Experts

kakima

Level 3 Expert

102366 Answers

jasbo
jasbo

Level 3 Expert

2237 Answers

yadayada
yadayada

Level 3 Expert

76649 Answers

Are you an Office Equipment and Supply Expert? Answer questions, earn points and help others

Answer questions

Manuals & User Guides

Loading...