Question about Office Equipment & Supplies
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?
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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
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)
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Posted on Mar 30, 2014
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Posted on Jan 02, 2017
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:
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:
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.
Posted on Nov 23, 2010
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
Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).
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Posted on Sep 05, 2011
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