Limas Segilima - Matematika

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Pentagonal Pyramid:

Pentagonal Pyramid Awanis Nadhifah Hegy Oktavian Naufal Syahrial Hidayat

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Concept Map Pentagonal Pyramid

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P entagonal pyramid was built space that has no roof.limited by the base pentagonal. and the sides of the triangle. Name of the pyramid is determined by thetype of base. Meaning

Notice these interesting things::

Notice these interesting things: It has 6 Faces( sisi ) The 5 Side Faces are Triangles( sisi segitiga ) The Base is a Pentagon(alas sigilima ) It has 6 Vertices (corner points) Titik sudut It has 10 Edges( rusuk ) Pentagonal Pyramid Facts

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Rusuk Limas = 2n Sisi limas = n + 1

Luas Permukaan Limas:

Luas Permukaan Limas Luas permukaan limas segilima = penjumlahan sisi alas dengan sejumlah lima sisi segitiganya . Luas permukaan : Luas alas + luas pem tegak . Luas limas beraturan ( Limas yang memiliki panjang rusuk yang sama . Luas alas+1/2 keliling alas x tinggi segitiga

Volume Limas :

Volume Limas Volume limas adalah ukuran isi limas yang dibatasi oleh sisi alas dan sejumlah lima sisi segitiga yang menutupnya . 1/3 luas alas x tinggi ( Dimana t adalah tinggi limas yang diukur dari puncak limas tegak lurus pada alas limas )

And for reference::

And for reference: Volume = 1/3 × [Base Area] × Height Surface Area (when all side faces are the same ): = [Base Area] + 1/2 × Perimeter × [Side Length ] Formula

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Edges Point Angle( Titik Sudut ) : A, B, C, D, E, and T Sides- Sisi - sisi (ABCDE) (TAB) (TBC) (TCD) (TDE) (TAE)

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Net of Pentagonal Pyramid

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A pentagonal pyramid has Base Area 32.7 cm2, Perimeter 21.8 cm, Height 4 cm and Side Length 5 cm. All side faces are the same. What is its volume? Exercise ! 29.1 cm3 43.6 cm3 54.5 cm3 65.4 cm 3 Answer : Use the formula: Volume = 1/3 × [Base Area] × Height = 1/3 × 32.7 cm2 × 4 cm = 43.6 cm3

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A pentagonal pyramid has Base Area 32.7 cm2, Perimeter 21.8 cm, Height 4 cm and Side Length 5 cm. All side faces are the same. What is its total surface area? Exercise ! 2. 87.2 cm2 76.3 cm2 69.0 cm2 54.5 cm2 Answer: Use the formula: Surface Area = [Base Area] + ½ × Perimeter × [Side Length] = 32.7 cm2 + ½ × 21.8 cm × 5 cm = 32.7 cm2 + 54.5 cm2 = 87.2 cm2

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A pentagonal pyramid has Base Area 90.8 in2, Perimeter 36.3 in, Height 12 in and Side Length 13 in. All side faces are the same. What is its volume? Exercise ! 3 . 544.8 in3 393.5 in3 363.2 in3 145.2 in3 Answer: Use the formula: Volume = 1/3 × [Base Area] × Height = 1/3 × 90.8 in2 × 12 in = 363.2 in3

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A pentagonal pyramid has Base Area 90.8 in2, Perimeter 36.3 in, Height 12 in and Side Length 13 in. All side faces are the same. What is its total surface area? Exercise ! 4 626.5 in2 326.75 in2 308.6 in2 248.1 in2 Answer : Use the formula: Surface Area = [Base Area] + ½ × Perimeter × [Side Length] = 90.8 in2 + ½ × 36.3 in × 13 in = 90.8 in2 + 235.95 in2 = 326.75 in2