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Wich net unfoldes and makes a triangular based pyramid

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What is the pyramid total surface formula


Assuming the base of the pyramid is square ... of length B and the distance from the center of the base of the pyramid to the top of the pyramid is H

Surface area is: 2 x H x B
plus B-square (if you include the base of the pyramid)

May 23, 2014 | Encore Math Advantage Algebra II and...

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What is the pyramid total surface formula


A pyramid has 5 sides including the base. If the base is a rectangle L long and W wide, its area is L*W.

The other sides are triangles. If the height of the pyramid is H, the triangles that are L wide at the base will have a height of the square root of half of W squared plus H squared, or SQRT((.5*W)^2+H^2) and the two that are W wide at the base will have a height of SQRT((.5*L)^2+H^2). The area of a triangle is .5*height*base, so the total surface two triangles with the same height and base is 2*.5*height*base = height*base.

So, the total surface area of a pyramid L long by W wide by H tall would be:
L*W (the area of the base)
+ L*SQRT((.5*W)^2+H^2) (the area of the 2 triangles with base L)
+ W*SQRT((.5*L)^2+H^2) (the area of the 2 triangles with base W)

Hope this is helpful!

May 23, 2014 | Encore Math Advantage Algebra II and...

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Volume of triangular pyramid


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

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)
bc7a3bcd-ec6e-4936-9887-c6372904fe9f.png

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

Mar 29, 2014 | Office Equipment & Supplies

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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

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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...

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I have to make a pyramid model. how do i make one and what would be the best thing to use?


Go to: www.repertorium.net/rostau/measures.html for dimensions to make any scale model Great Pyramid. Use foam-core modeling board and hot glue to make the actual model. Hope this helps!

Dec 01, 2010 | Garden

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How tall is the average pyramid


The first Egyptian pyramid was 204 feet or 62 meters high, built at the direction on Pharoah Djoser in around 2630 B.C. The tallest was the Great Pyramid at Giza, standing at an impressive 481 feet or 147 meters. The smallest was the Pyramid of Pepi II, which stood at a paltry 172 feet or 52 meters. Just based on Egyptian pyramids, the average height is about 316.5 feet or 96.375 meters. Considering the technology of the day, the pyramid builders were quite impressive to say the least. Hope this helped and best wishes.

Sep 24, 2009 | Sport & Outdoor - Others

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