Volume: Perbedaan antara revisi

Konten dihapus Konten ditambahkan
Akuindo (bicara | kontrib)
Akuindo (bicara | kontrib)
Baris 20:
|style="text-align:center"|<math>s^3\;</math>
|''s'' = panjang sisi/rusuk
|-
|[[Prisma (geometri)|Prisma]]
|style="text-align:center"|<math>L \cdot t</math>
|''L'' = luas alas, ''t'' = tinggi
|-
|[[Balok]]
|style="text-align:center"|<math>p \cdot l \cdot t</math>
|p = panjang, l = lebar, t = tinggi
|-
|[[Prisma (geometri)|Prisma]]
|style="text-align:center"|<math>L \cdot t</math>
|''L'' = luas alas, ''t'' = tinggi
|-
|[[Prisma segitiga]]
|style="text-align:center"|<math>\frac{1}{2}atl</math>
|''a'' = panjang dasar segitiga, ''t'' = tinggi prisma, ''l'' = length of prism or distance between the triangular bases
|-
|[[bola (geometri)|Bola]]
|style="text-align:center"|<math>\frac{4}{3} \pi r^3</math>
|''r'' = jari-jari bola<br>di mana merupakan [[integral]] [[luas permukaan]] bola
|-
|[[Ellipsoid]]
|style="text-align:center"|<math>\frac{4}{3} \pi abc</math>
|''a'', ''b'', ''c'' = semi-axes of ellipsoid
|-
|[[Torus]]
|style="text-align:center"|<math>(\pi r^2)(2\pi R) = 2\pi^2 Rr^2</math>
|''r'' = jari-jari kecil, ''R'' = jari-jari besar
|-
|[[Limas]]
Baris 56 ⟶ 44:
|style="text-align:center"|<math>\frac{1}{3} plt</math>
|p = panjang, l = lebar, t = tinggi
|-
|[[Kerucut]]
|style="text-align:center"|<math>\frac{1}{3} \pi r^2 t</math>
|''r'' = jari-jari [[lingkaran]] di dasar kerucut, ''t'' = jarak dari dasar ke pucuk atau tinggi
 
|-
|[[Tabung (geometri)|Tabung]]
|style="text-align:center"|<math>\pi r^2 t\;</math>
|''r'' = jari-jari alas, ''t'' = tinggi
 
|-
|[[Tetrahedron]]<ref name=Cox>[[H. S. M. Coxeter|Coxeter, H. S. M.]]: ''[[Regular Polytopes (book)|Regular Polytopes]]'' (Methuen and Co., 1948). Table I(i).</ref>
|style="text-align:center"|<math>{\sqrt{2}\over12}a^3 \,</math>
|panjang sisi <math>a</math>
|-
|[[Parallelepiped]]
Baris 80 ⟶ 54:
</math>
|''a'', ''b'', and ''c'' are the parallelepiped edge lengths, and α, β, and γ are the internal angles between the edges
|-
|[[Tetrahedron]]<ref name=Cox>[[H. S. M. Coxeter|Coxeter, H. S. M.]]: ''[[Regular Polytopes (book)|Regular Polytopes]]'' (Methuen and Co., 1948). Table I(i).</ref>
|style="text-align:center"|<math>{\sqrt{2}\over12}a^3 \,</math>
|panjang sisi <math>a</math>
|-
|[[bola (geometri)|Bola]]
|style="text-align:center"|<math>\frac{4}{3} \pi r^3</math>
|''r'' = jari-jari bola<br>di mana merupakan [[integral]] [[luas permukaan]] bola
|-
|[[Ellipsoid]]
|style="text-align:center"|<math>\frac{4}{3} \pi abc</math>
|''a'', ''b'', ''c'' = semi-axes of ellipsoid
|-
|[[Tabung (geometri)|Tabung]]
|style="text-align:center"|<math>\pi r^2 t\;</math>
|''r'' = jari-jari alas, ''t'' = tinggi
|-
|[[Kerucut]]
|style="text-align:center"|<math>\frac{1}{3} \pi r^2 t</math>
|''r'' = jari-jari [[lingkaran]] di dasar kerucut, ''t'' = jarak dari dasar ke pucuk atau tinggi
|-
|[[Torus]]
|style="text-align:center"|<math>(\pi r^2)(2\pi R) = 2\pi^2 Rr^2</math>
|''r'' = jari-jari kecil, ''R'' = jari-jari besar
|-
|Volume benda putar<br/>(dibutuhkan [[kalkulus integral|kalkulus]])