{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:57:16+00:00","modifiedTime":"2016-03-26T07:57:16+00:00","timestamp":"2022-09-14T17:51:54+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Algebra","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33721"},"slug":"algebra","categoryId":33721}],"title":"Algebraic Formulas for Geometric Shapes","strippedTitle":"algebraic formulas for geometric shapes","slug":"algebraic-formulas-for-geometric-shapes","canonicalUrl":"","seo":{"metaDescription":"Geometric shapes have algebraic formulas for determining perimeter, area, surface area, and volume. The letters in the formulas stand for length, width, side, b","noIndex":0,"noFollow":0},"content":"Geometric shapes have algebraic formulas for determining perimeter, area, surface area, and volume. The letters in the formulas stand for length, width, side, base, height, diameter, and radius:\nl: length\nw: width\ns: side\nb: base\nh: height\nd: diameter\nr: radius\nIn this list, the shape is followed by two formulas, the first formula is for the perimeter (P) or circumference (C), and the second formula is for the area (A):\nRectangle:\nP = 2(l + w) = 2l + 2w\nA = lw\nSquare:\nP = 4s\nA = s2\nTriangle:\nP = s1 + s2 + s3\nA = 1⁄2bh\nTrapezoid:\nP = s1 + s2 + s3 + s4\nA = 1⁄2h(b1 + b2)\nParallelogram:\nP = 2(b + s) = 2b + 2s\nA = bh\nCircle:\n<img src=\"https://www.dummies.com/wp-content/uploads/474131.image0.png\" height=\"46\" alt=\"image0.png\" width=\"98\"/>\nIn this list, the shape is followed by two formulas, the first formula is for the surface area (SA), and the second formula is for the volume (V):\nRectangular prism (box):\nSA = 2lw + 2lh + 2wh\nV = lwh\nCylinder:\n<img src=\"https://www.dummies.com/wp-content/uploads/474132.image1.png\" height=\"51\" alt=\"image1.png\" width=\"116\"/>\nSphere:\n<img src=\"https://www.dummies.com/wp-content/uploads/474133.image2.png\" height=\"68\" alt=\"image2.png\" width=\"78\"/>","description":"Geometric shapes have algebraic formulas for determining perimeter, area, surface area, and volume. The letters in the formulas stand for length, width, side, base, height, diameter, and radius:\nl: length\nw: width\ns: side\nb: base\nh: height\nd: diameter\nr: radius\nIn this list, the shape is followed by two formulas, the first formula is for the perimeter (P) or circumference (C), and the second formula is for the area (A):\nRectangle:\nP = 2(l + w) = 2l + 2w\nA = lw\nSquare:\nP = 4s\nA = s2\nTriangle:\nP = s1 + s2 + s3\nA = 1⁄2bh\nTrapezoid:\nP = s1 + s2 + s3 + s4\nA = 1⁄2h(b1 + b2)\nParallelogram:\nP = 2(b + s) = 2b + 2s\nA = bh\nCircle:\n<img src=\"https://www.dummies.com/wp-content/uploads/474131.image0.png\" height=\"46\" alt=\"image0.png\" width=\"98\"/>\nIn this list, the shape is followed by two formulas, the first formula is for the surface area (SA), and the second formula is for the volume (V):\nRectangular prism (box):\nSA = 2lw + 2lh + 2wh\nV = lwh\nCylinder:\n<img src=\"https://www.dummies.com/wp-content/uploads/474132.image1.png\" height=\"51\" alt=\"image1.png\" width=\"116\"/>\nSphere:\n<img src=\"https://www.dummies.com/wp-content/uploads/474133.image2.png\" height=\"68\" alt=\"image2.png\" width=\"78\"/>","blurb":"","authors":[{"authorId":8985,"name":"Mary Jane Sterling","slug":"mary-jane-sterling","description":" Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. 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Algebraic Formulas for Geometric Shapes

By: Mary Jane Sterling and

Updated: 03-26-2016

Algebra I For Dummies

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Geometric shapes have algebraic formulas for determining perimeter, area, surface area, and volume. The letters in the formulas stand for length, width, side, base, height, diameter, and radius:

l: length

w: width

s: side

b: base

h: height

d: diameter

r: radius

In this list, the shape is followed by two formulas, the first formula is for the perimeter (P) or circumference (C), and the second formula is for the area (A):

Rectangle:

P = 2(l + w) = 2l + 2w

A = lw

Square:

P = 4s

A = s²

Triangle:

P = s₁ + s₂ + s₃

A = ¹⁄₂bh

Trapezoid:

P = s₁ + s₂ + s₃+ s₄

A = ¹⁄₂h(b₁ + b₂)

Parallelogram:

P = 2(b + s) = 2b + 2s

A = bh

Circle:

In this list, the shape is followed by two formulas, the first formula is for the surface area (SA), and the second formula is for the volume (V):

Rectangular prism (box):

SA = 2lw + 2lh + 2wh

V = lwh

Cylinder:

Sphere:

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Algebra I For Dummies

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