PAPER CALCULATOR
Area and Volume Calculations
Find area and volume formulas for many common geometrical solids.

The following diagrams provide area and volume formulas for many common geometrical solids.

 

Click below to quickly navigate to the desired calculation formula.

Geometrical Solids
Type Name
Two Dimensional Squares
Rectangles
Parallelograms
Trapezoids
Triangles
Circles
Ellipses
Three Dimensional Cubes
Rectangular prisms
Pyramids
Spheres
Cylinders
Ellipsoids


Area calculations

Squares and rectangles
Area of a rectangle:
ab
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Parallelograms
Area of a parallelogram:
bh
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Trapezoids
Area of a trapezoid:
½h (b1 + b2)
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Triangles
Area of a triangle:
½(bh)
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Circles
Area of a circle:
πr²

π = 3.14159265
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Ellipses
Area of a ellipse:
π r1 r2

π = 3.14159265
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Volume calculations

Cubes and rectangular prisms
Volume of a rectangular prism:
wdh
Total Surface Area:
2wh + 2dw +2dh
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Pyramid (square)
Volume of a square pyramid:
(1⁄3)a²h
Base Area:
a²
Total Surface Area:
a(a + √(a² + 4h²))
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Spheres
Volume of a sphere:
(4⁄3) π r³
Circumference of a sphere:
2πr
Surface area of a sphere:
4πr²

π = 3.14159265
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Cylinders
Volume of a cylinder:
π r²h
Total surface area of a cylinder:
2πr(r + h)

π = 3.14159265
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Ellipsoids
Volume of an ellipsoid:
(4 ⁄ 3) π r1 r2 r3

π = 3.14159265
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