pyramid mathematics
DESCRIPTION
Here some explanation of pyramid. :DTRANSCRIPT
![Page 1: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/1.jpg)
3
![Page 2: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/2.jpg)
2
![Page 3: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/3.jpg)
1
![Page 4: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/4.jpg)
![Page 5: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/5.jpg)
![Page 6: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/6.jpg)
PYRAMID
Group: Aqmalia
ShafiraSabila AnjaniAnindhitoJulio CaesarFebiola Efriani
![Page 7: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/7.jpg)
What Is Pyramid? Is geometrical polygon-shaped base
and the establishment of a triangular field that intersect at one point. Intersection of the straight sides of the pyramid called cusp pyramid.
![Page 8: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/8.jpg)
What Are The Example?
1 2 3 4
1. Triangular Pyramid
2. Rectangular Pyramid
3. Pentagonal Pyramid
4. Hexagonal Pyramid
![Page 9: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/9.jpg)
Lines Of Pyramid
Triangular Pyramid has 6 lines Rectangular Pyramid has 8 lines Pentagonal Pyramid has 10 lines Hexagonal Pyramid has 12 lines
FORMULA
![Page 10: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/10.jpg)
Determining The Lines of Pyramid
Lines = 2n
Where n is the type of the pyramid base. If the type of base on the pyramid is square, then n = 4. If the type of base on the pyramid is a triangle, then n = 3, and so on.
![Page 11: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/11.jpg)
Side Of Pyramid
Sides of Triangular Pyramid
•Triangular Pyramid has 4 side
•The field of side: Triangle(4)
Sides of Rectangular Pyramid
Rectangular Pyramid has 5 side
The field of side: Triangle (4) Rectangle
(1)
![Page 12: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/12.jpg)
Corners and Vertex
In the Triangular Pyramid, there are 9 corners and there are 4 vertex.
In the Rectangular Pyramid, there are 12 corners and there are 5 vertex.
FORMULA
![Page 13: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/13.jpg)
Determining The Points of Pyramid
points = n + 1
Where n is the type of the pyramid base. If the type of base on the pyramid is square, then n = 4. If the type of base on the pyramid is a triangle, then n = 3, and so on.
![Page 14: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/14.jpg)
Volume Pyramid
![Page 15: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/15.jpg)
Surface Area
Surface area pyramid == Area□ ABCD + Area ∆ TAB + Area ∆
TBC + Area ∆ TCD + Area ∆ TAD
Luas Permukaan pada Limas = Luas alas + jumlah seluruh luas sisi
tegak
![Page 16: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/16.jpg)
Question Volume of Pyramid
Base pyramid form a right triangle with sides of length 12 cm, 16 cm, 20 cm. If the pyramid height 21 cm, then the volume of the pyramid is....
![Page 17: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/17.jpg)
Lalas = ½ x a x t
= ½ x 16 x 12= 96 cm²
Vlimas = 1/3 x Lalas x tLimas
= 1/3 x 96 x 21
= 672 cm³
ANSWER
![Page 18: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/18.jpg)
Question Surface Area of Pyramid
Picture below is a rectangular pyramid.
ABCD with base side length of 6 cm
and 4 cm tall pyramid. Then the
surface area of the pyramid is ...
![Page 19: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/19.jpg)
1. OF = ½ x AB = ½ x 6 = 3 cmTF² = TO² + OF²
= 4² + 3² = 16 + 9 = 25TF = √25 = 5 cm
Lp = Lalas + Lsisi tegak
= AB x BC + 4 x ½ x BC x TF
= 6 x 6 + 4 x ½ x 6 x 5
= 96 cm²ANSWER
![Page 20: Pyramid Mathematics](https://reader033.vdocuments.site/reader033/viewer/2022051312/54626ff3af79597c138b4a26/html5/thumbnails/20.jpg)
THANK YOU :D