Volume Calculations

Cube | Square Prism | Pyramid | Frustrum of Pyramid| Cylinder | Hollow Cylinder | Cone | Frustrum of Cone | Sphere | Spherical Zone | Spherical Segment | Spherical Sector | Cylindrical Ring | Barrel

Cube

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$d = a \cdot \sqrt 3$$ $$Surface = 6 \cdot a^2$$ $$Volume = a^3$$
Surface = mm2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Surface = m2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Square Prism

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

c = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$d = \sqrt{a^2+b^2+c^2}$$ $$Surface = 2(a \cdot b + a \cdot c + b \cdot c)$$ $$Volume = a \cdot b \cdot c$$
Surface = mm2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Surface = m2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Pyramid

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$A = a \cdot b$$ $$Volume = {A \cdot h \over 3}$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Frustrum of Pyramid

a1 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b1 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

a2 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b2 = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$A_1 = a_1 \cdot b_1$$ $$A_2 = a_2 \cdot b_2$$ $$Volume = {h \over 3} \cdot (A_1 + A_2 + \sqrt{A_1 \cdot A_2})$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Cylinder

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot d^2 \over 4} \cdot h$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Hollow Cylinder

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot h \over 4} \cdot (D^2-d^2)$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Cone

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot r^2 \cdot h \over 3}$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Frustrum of Cone

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot h \over 12} \cdot (D^2 + D \cdot d + d^2)$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Sphere

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {4 \over 3} \cdot r^3 \cdot \pi = {1 \over 6} \cdot d^3 \cdot \pi$$
Surface = mm2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Surface = m2

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Spherical Zone

a = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

b = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot h \over 6} \cdot (3 \cdot a^2 + 3 \cdot b^2 + h^2)$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Spherical Segment

r = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot h \over 6} \cdot \left({3 \over 4} \cdot s^2 + h^2 \right)$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Spherical Sector

r = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {2 \over 3} \cdot h \cdot r^2 \cdot \pi$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Cylindrical Ring

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {D \cdot d^2 \cdot \pi^2 \over 4}$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001


Barrel

d = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

D = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

h = mm

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

$$Volume = {\pi \cdot h \over 12} \cdot (2 \cdot D^2+ d^2)$$
Volume = mm3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001

Volume = m3

Integers or decimals only. Maximum 10 characters
Minimum value = 0.001