Volume/Surface Area Flashcards

1
Q

Lateral Area (LA)

A

Sum of the area of all sides except the base(s)

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2
Q

Surface Area (SA)

A

Sum of the area of all sides (LA + B)

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3
Q

Cylinder LA

A

LA = 2πrh

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4
Q

Cylinder SA

A

SA = 2πrh + 2πr2

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5
Q

Cone LA

A

LA = πrl

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6
Q

Cone SA

A

SA = πrl + πr2

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7
Q

Sphere SA

A

SA = 4πr2

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8
Q

centroid

A

intersection of the medians located 2/3 of the distance from a vertex along a median

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9
Q

area of equilateral triangle

A

s2(sqrt(3))/4

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10
Q

Tetrahedron SA

A

SA = s2√3

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11
Q

Rectangular Prism SA

A

SA = 2(lw + lh + wh)

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12
Q

Rectangular Prism Volume

A

V = lwh

OR

V = Bh

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13
Q

Cube SA

A

SA = 6s2

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14
Q

Cube Volume

A

V = s3

OR

V = Bh

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15
Q

Pyramid SA

A

SA = B + xAtriangle

(x-the coefficient, depends on the number of triangles in the pyramid, which depends on the shape of the base)

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16
Q

Pyramid Volume

A

1/3(Bh)

17
Q

Tetrahedron Volume

A

V = (s3√2)/12

OR

V = 1/3(Bh)

18
Q

Cylinder Volume

A

V = πr2h

OR

V = Bh

19
Q

Cone Volume

A

V = 1/3(πr2h)

OR

V = 1/3(Bh)

20
Q

Sphere Volume

A

V = 4/3(πr3)