Formulas for 3D Shapes

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3D Shape Formulas (Surface Areas and Volumes)

19 Terms

1
<p>Volume Rect. Prism</p>

Volume Rect. Prism

(L)(W)(H)

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2
<p>Volume of Cylinder</p>

Volume of Cylinder

π r² h

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3
<p>Volume of triangular prism</p>

Volume of triangular prism

(½bh) × L

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4
<p>Volume of Regular Polygon Prism</p>

Volume of Regular Polygon Prism

[½(apothem)(perimeter)]h

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5
<p>Volume of Cone</p>

Volume of Cone

⅓ (πr²) h

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6
<p>Surface Area of Cone</p>

Surface Area of Cone

πr² + πrℓ

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7
<p>Surface Area of Rectangular Prism</p>

Surface Area of Rectangular Prism

2ℓw + 2ℓh + 2wh

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8
<p>Surface Area of Cylinder</p>

Surface Area of Cylinder

2πr² + πdh

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9
<p>Volume of square/rectangular Pyramid</p>

Volume of square/rectangular Pyramid

⅓(Base area)(h)

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10
<p>Area of a regular polygon</p>

Area of a regular polygon


½perimeter x apothem

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11
<p>Area of a triangle </p>

Area of a triangle

½bh

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12
<p>Area of a circle</p>

Area of a circle

πr²

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13
<p>Surface Area of a Hexagonal Prism</p>

Surface Area of a Hexagonal Prism

2(½ap) + 6(bh)

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14
<p>Surface Area of a Sphere </p>

Surface Area of a Sphere

4πr²

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15
<p>Surface Area of a Hemisphere</p>

Surface Area of a Hemisphere

3πr²

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16
<p>Volume of a trapezoidal prism</p>

Volume of a trapezoidal prism

[½(b1+b2)h] x L

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17
<p>Volume of a Triangular Pyramid</p>

Volume of a Triangular Pyramid

⅓(Base area)(h)

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18
<p>Volume of a Hemisphere</p>

Volume of a Hemisphere

 2/3πr³

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19
<p>Volume of a Sphere</p>

Volume of a Sphere

 4/3πr³

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