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Perhatikan gambar berikut! Hitunglah luas permukaan gabungan bangun ruang di atas!

Perhatikan gambar berikut!

Hitunglah luas permukaan gabungan bangun ruang di atas! 

Jawaban:

Dari gambar yang diberikan, dapat dihitung:

- Luas permukaan bangun 1

begin mathsize 14px style straight L subscript straight p 1 end subscript equals straight L subscript bangun space kiri end subscript straight L subscript straight p 1 end subscript equals straight L subscript permukaan space balok end subscript straight L subscript straight p 1 end subscript equals 2 cross times left parenthesis p l italic plus p t italic plus l t right parenthesis straight L subscript straight p 1 end subscript equals 2 cross times left parenthesis open parentheses 18 cross times 14 close parentheses plus open parentheses 18 cross times 18 close parentheses plus open parentheses 14 cross times 18 close parentheses right parenthesis straight L subscript straight p 1 end subscript equals 2 cross times left parenthesis 252 plus 324 plus 252 right parenthesis straight L subscript straight p 1 end subscript equals 2 cross times left parenthesis 828 right parenthesis straight L subscript straight p 1 end subscript equals 1.656 end style 

- Luas permukaan bangun 2

begin mathsize 14px style straight L subscript straight p 2 end subscript equals straight L subscript bangun space kanan end subscript straight L subscript straight p 2 end subscript equals straight L subscript kubus straight L subscript straight p 2 end subscript equals 6 cross times s squared straight L subscript straight p 2 end subscript equals 6 cross times 14 squared straight L subscript straight p 2 end subscript equals 6 cross times 196 straight L subscript straight p 2 end subscript equals 1.176 end style 

Sehingga:

begin mathsize 14px style straight L subscript bangun space gabungan end subscript equals straight L subscript straight p 1 end subscript plus straight L subscript straight p 2 end subscript straight L subscript bangun space gabungan end subscript equals 1.656 plus 1.176 straight L subscript bangun space gabungan end subscript equals 2.832 end style 

Jadi, luas permukaan gabungan bangun ruang tersebut adalah begin mathsize 14px style 2.832 space cm squared end style.

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