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FredrickJrgo
Answered

WRITTEN WORKSFind the surface are of each solid figure.

1 A cylinder whose radius is 7 m and whose height is 12 m.

2. A cube whose edge is 5 cm.​

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KAntoineDoixgo

✏️SURFACE AREA

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WRITTEN WORKS

» Find the surface area of each solid figure.

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#1: A cylinder whose radius is 7 m and whose height is 12 m.

[tex] \begin{align} & \bold{Formula:} \\ & \boxed{SA = 2\pi r^2 + 2\pi rh} \end{align} [/tex]

  • [tex] SA = 2(3.14)(7\,m)^2 + 2(3.14)(7\,m)(12\,m) [/tex]

  • [tex] SA = 2(3.14)(49\,m^2) + 2(3.14)(7\,m)(12\,m) [/tex]

  • [tex] SA = 307.72\,m^2 + 527.52\,m^2 [/tex]

  • [tex] SA = 835.24\,m^2 [/tex]

[tex] \therefore [/tex] The surface area of the given cylinder is about...

  • [tex] \large \underline{\boxed{\tt \purple{835.24\,m^2}}} [/tex]

[tex] \: \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad [/tex]

#2: A cube whose edge is 5 cm.

[tex] \begin{align} & \bold{Formula:} \\ & \boxed{SA = 6s^2} \end{align} [/tex]

  • [tex] SA = 6(5\,cm)^2 [/tex]

  • [tex] SA = 6(25\,cm^2) [/tex]

  • [tex] SA = 150\,cm^2 [/tex]

[tex] \therefore [/tex] The surface area of the given cube is...

  • [tex] \large \underline{\boxed{\tt \purple{150\,cm^2}}} [/tex]

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Hanimeyago

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DIRECTION :

  • Find the surface area of each solid figure.

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ANSWER : 1

#1. A cylinder whose radius is 7 m and whose height is 12 m.

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GIVEN :

  • [tex]\tt{Radius (r) = \green{7m}}[/tex]

  • [tex] \tt{Height (h) = \green{12m}}[/tex]

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SOLUTION :

  • [tex] \tt{A = 2\pi \: rh + 2\pi \: {r}^{2} }[/tex]

  • [tex] \tt{A = 2(\: 3.14\:)(\:7 \: m\:)(\:12 \: m\:) + 2(\:3.14\:)(\:7 {m}\:)^{2} }[/tex]

  • [tex]\tt{A = 6.28( \: 84 \: {m}^{2} \: ) + 6.28( \: 48 \: { m}^{2} \: )}[/tex]

  • [tex] \tt{A = 527.52 \: {m}^{2} + 307.72 \: {m}^{2} }[/tex]

  • [tex]\tt\green{A = 835.24 m²}[/tex]

[tex] \huge \purple {\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

ANSWER : 2

#2. A cube whose edge is 5 cm.

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GIVEN :

  • [tex] \tt{Edge (a) = \green{5 cm}}[/tex]

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SOLUTION :

  • [tex] \tt{A = 6a²}[/tex]

  • [tex] \tt{A = 6 (5 cm) ²}[/tex]

  • [tex] \tt{A = 6 × 25 cm²}[/tex]

  • [tex]\tt\green{A = 150 cm²}[/tex]

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#CarryOnLearning

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