Geometry Formulas

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Volume of a Prism

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The volume of a prism is calculated as the area of the base times the height (V = B * h).

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Volume of a Cone

Back

The volume of a cone is calculated as one-third the area of the base times the height (V = 1/3 * B * h).

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Volume of a Cylinder

Back

The volume of a cylinder is calculated as the area of the base times the height (V = π * r^2 * h).

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Volume of a Pyramid

Back

The volume of a pyramid is calculated as one-third the area of the base times the height (V = 1/3 * B * h).

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Volume of a Sphere

Back

The volume of a sphere is calculated as four-thirds times π times the radius cubed (V = 4/3 * π * r^3).

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Area of a Triangle

Back

The area of a triangle is calculated as one-half the base times the height (A = 1/2 * b * h).

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Area of a Parallelogram

Back

The area of a parallelogram is calculated as the base times the height (A = b * h).

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Area of a Rhombus

Back

The area of a rhombus is calculated as one-half the product of its diagonals (A = 1/2 * d1 * d2).

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Area of a Trapezoid

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The area of a trapezoid is calculated as one-half the sum of the bases times the height (A = 1/2 * (b1 + b2) * h).

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Area of a Regular Polygon

Back

The area of a regular polygon is calculated as one-half the perimeter times the apothem (A = 1/2 * P * a).