Volume Of A Region Calculator

Square Pyramid Shape

h = height
s = slant height
a = side length
e = lateral edge length
r = a/two
V = volume
L = lateral surface expanse
B = base surface area
Southward = total surface area

Summate more than with
Pyramid Figurer

Calculator Utilise

Online reckoner to calculate the volume of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere and spherical cap.

Units: Note that units are shown for convenience but practise non affect the calculations. The units are in place to give an indication of the order of the results such every bit ft, ft² or ft^three. For case, if you are starting with mm and you know a and h in mm, your calculations volition result with V in mm³.

Below are the standard formulas for book.

Volume Formulas:

Sheathing Volume

• Volume = πr^two((4/3)r + a)
• Surface area = 2πr(2r + a)

Circular Cone Book & Surface Area

• Volume = (1/3)πr²h
• Lateral Surface Area = πrs = πr√(r² + h²)
• Base Surface Area = πr²
• Full Surface Surface area
  = L + B = πrs + πr² = πr(s + r) = πr(r + √(r^two + h^two))

Round Cylinder Volume

• Volume = πrⁱⁱh
• Top Surface Area = πr²
• Bottom Surface Surface area = πr²
• Total Surface Area
  = 50 + T + B = 2πrh + 2(πr²) = twoπr(h+r)

Conical Frustum Volume

• Volume = (1/3)πh (r₁ ² + r₂ ^two + (r₁ * r₂))
• Lateral Surface Surface area
  = π(r_i + r_ii)s = π(r_ane + r_ii)√((r_one - r_two)² + h²)
• Top Surface Surface area = πr_ane ²
• Base Surface Surface area = πr₂ ²
• Total Expanse
  = π(r₁ ^two + r₂ ² + (r_one * r₂) * s)
  = π[ r₁ ² + r₂ ² + (r₁ * r₂) * √((r₁ - r_ii)² + h²) ]

Cube Volume

• Volume = a^three
• Surface Surface area = 6a²

Hemisphere Volume

• Volume = (2/3)πr³
• Curved Surface Expanse = 2πr²
• Base Surface Area = πr²
• Total Expanse= (2πr²) + (πr²) = threeπr²

Pyramid Volume

• Volume = (1/3)a²h
• Lateral Surface Surface area = a√(a^two + 4h²)
• Base Area = a²
• Total Area
  = L + B = a² + a√(a² + 4h²))
  = a(a + √(a² + 4h²))

Rectangular Prism Volume

• Volume = lwh
• Expanse = 2(lw + lh + wh)

Sphere Volume

• Book = (4/iii)πrⁱⁱⁱ
• Surface Surface area = ivπr²

Spherical Cap Volume

• Volume = (1/iii)πhⁱⁱ(3R - h)
• Surface Area = 2πRh

Triangular Prism Volume

\[ V = \dfrac{1}{four}h \sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)} \]

Volume Of A Region Calculator,

Source: https://www.calculatorsoup.com/calculators/geometry-solids/volume.php

Posted by: stewartneents.blogspot.com

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