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SWBAT: calculate the volume of prisms and cylinders, Lecture notes of Analytical Geometry and Calculus

SWBAT: calculate the volume of prisms and cylinders. Triangular. Prism ... Trapezoidal. Prism. V = BH. V = 2100 m3. Trapezoidal. Prism.

Typology: Lecture notes

2021/2022

Uploaded on 09/27/2022

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Triangular Prism 𝑽 = (

Rectangular Prism 𝑽 = 𝑳 ∙ 𝑾 ∙ 𝑯

V =  𝒓𝟐^ H

CUBE V = BH

V = 𝒔𝟑

V = 𝒔𝟑

V = (𝟐𝟓)𝟑

V = 𝟏𝟓, 𝟔𝟐𝟓 𝒇𝒕𝟑

Triangular Prism V = BH V = (𝟏𝟐 𝒃𝒉)H

V = (𝟏𝟐 𝒃𝒉)H

V = (𝟏𝟐 ∙ 𝟓 ∙ 𝟏𝟐)(5) V = 𝟏𝟓𝟎 𝒎𝟑

Trapezoidal Prism

V = BH

V = 2100 m^3

Trapezoidal Prism

V = BH

V = 360 m^3

Hexagonal Prism

V = BH

Hexagonal Prism

V = BH

V = 6(𝟏𝟐 𝒃𝒉)H

V = 6(𝟏𝟐 𝒃𝒉)H

V = 6(𝟏𝟐 𝒃𝒉)H

V = 6(𝟏𝟐 𝒃𝒉)H

V = 6(𝟏𝟐 ∙ 𝟖 ∙ 𝟒 𝟑)(5)

V = 6(𝟏𝟐 ∙ 𝟏𝟎 ∙ 𝟓 𝟑)(14)

V = 3360 L = 14 L = W

V = 𝐿 ∙ 𝑾 ∙ 𝑯

3360 𝟏𝟔𝟖 =^

𝟏𝟔𝟖 ∙ 𝑯 𝟏𝟔𝟖

𝟐𝟎 𝒊𝒏𝒄𝒉𝒆𝒔 = H

V = 3375 V = 𝒔𝟑

𝟏𝟓 𝒖 = s

V = 𝟒𝟒𝟏𝝅

H = 9 V =^ ^ 𝒓

𝟐 H

𝟒𝟒𝟏𝝅 =  𝒓𝟐^ (9)

𝟒𝟗 = 𝒓^2

𝟕 𝒊𝒏 = r