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- 3d Shapes, Solid Geometry Calculators. Solid geometry is a study of 3d shapes or objects are one that take up space in any circular or flat surfaces. The three dimensional Figures include length, width and height. A 3 dimensional shape has all these three dimension. It has top, bottom, left and right surfaces.
Solid geometry is a study of 3d shapes or objects are one that take up space in any circular or flat surfaces. The three dimensional Figures include length, width and height. A 3 dimensional shape has all these three dimension. It has top, bottom, left and right surfaces. Some of the examples of Three dimensional solid figures are sphere, prism, cylinder, cone etc., This section involves calculators related to three dimensional geometric solids and shapes. These calculators will help you to find the area, perimeter, volume etc., of the 3d figures.
Cone
Cylinder
Ellipse
Pond
Prism
Pyramid
Rhombus
Sphere
Polygon
Three dimensional space figures can be regular and irregular. Area, volume of the whole 3d shape and the surface areas can also be calculated using these solid geometry calculators.
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Square Pyramid Shape
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
Stot = total surface area
Slat = lateral surface area
Sbot = bottom surface area
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Pyramid Calculator
Calculator Use
Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism
Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm3 and S in mm2.
Below are the standard formulas for surface area.
Surface Area Formulas:
Capsule Surface Area
- Volume = πr2((4/3)r + a)
- Surface Area = 2πr(2r + a)
Circular Cone Surface Area
Geometry Calculator Sin
- Volume = (1/3)πr2h
- Lateral Surface Area = πrs = πr√(r2 + h2)
- Base Surface Area = πr2
- Total Surface Area
= L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Circular Cylinder Surface Area
- Volume = πr2h
- Top Surface Area = πr2
- Bottom Surface Area = πr2
- Total Surface Area
= L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Conical Frustum Surface Area
- Volume = (1/3)πh (r12 + r22 + (r1 * r2))
- Lateral Surface Area
= π(r1 + r2)s = π(r1 + r2)√((r1 - r2)2 + h2) - Top Surface Area = πr12
- Base Surface Area = πr22
- Total Surface Area
= π(r12 + r22 + (r1 * r2) * s)
= π[ r12 + r22 + (r1 * r2) * √((r1 - r2)2 + h2) ]
Cube Surface Area
Geometry Calculator And Solver
- Volume = a3
- Surface Area = 6a2
Hemisphere Surface Area
- Volume = (2/3)πr3
- Curved Surface Area = 2πr2
- Base Surface Area = πr2
- Total Surface Area= (2πr2) + (πr2) = 3πr2
Pyramid Surface Area
Geometry Calculator Tan
- Volume = (1/3)a2h
- Lateral Surface Area = a√(a2 + 4h2)
- Base Surface Area = a2
- Total Surface Area
= L + B = a2 + a√(a2 + 4h2))
= a(a + √(a2 + 4h2))
Rectangular Prism Surface Area
- Volume = lwh
- Surface Area = 2(lw + lh + wh)
Sphere Surface Area
- Volume = (4/3)πr3
- Surface Area = 4πr2
Spherical Cap Surface Area
- Volume = (1/3)πh2(3R - h)
- Surface Area = 2πRh
Triangular Prism Surface Area
Top Surface Area of a Triangular Prism Formula
[ A_{top} = dfrac{1}{4} sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)} ]Bottom Surface Area of a Triangular Prism Formula
[ A_{bot} = dfrac{1}{4} sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)} ]Lateral Surface Area of a Triangular Prism Formula
[ A_{lat} = h (a+b+c) ]Total Surface Area of a Triangular Prism Formula
[ A_{tot} = A_{top} + A_{bot} + A_{lat} ]Cite this content, page or calculator as:
Furey, Edward 'Surface Area Calculator'; CalculatorSoup, https://www.calculatorsoup.com - Online Calculators