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Hitunglah luas permukaan dan volume bangun di bawa...

Hitunglah luas permukaan dan volume bangun di bawah ini.

  1. begin mathsize 14px style... end style 

  2. begin mathsize 14px style... end style 

Jawaban:

Perhatikan gambar berikut :

Diketahui:

Bangun ruang : Prisma dengan alas trapesium

size 14px EF size 14px equals size 14px HG size 14px equals size 14px 7 size 14px space size 14px cm size 14px FB size 14px equals size 14px GC size 14px equals size 14px 13 size 14px space size 14px cm size 14px BC size 14px equals size 14px FG size 14px equals size 14px EH size 14px equals size 14px AD size 14px equals size 14px 14 size 14px cm size 14px AB size 14px equals size 14px DC size 14px equals size 14px 12 size 14px space size 14px cm size 14px AE size 14px equals size 14px DH size 14px equals size 14px 7 size 14px space size 14px cm size 14px Keliling size 14px space size 14px ABFE size 14px equals size 14px Keliling size 14px space size 14px DCGH    

Ditanya :

Luas permukaan dan volume prisma

Jawab :

begin mathsize 14px style straight L. prisma equals 2 cross times straight L. trapesium plus keliling. prisma cross times tinggi straight L. prisma equals 2 cross times open parentheses 1 half cross times left parenthesis EF plus AB right parenthesis cross times AE close parentheses plus left parenthesis AE plus EF plus FB plus AB right parenthesis cross times BC straight L. prisma equals 2 cross times open parentheses 1 half cross times left parenthesis 7 plus 12 right parenthesis cross times 12 close parentheses plus left parenthesis 12 plus 7 plus 13 plus 12 right parenthesis cross times 14 straight L. prisma equals 2 cross times open parentheses 114 close parentheses plus left parenthesis 44 right parenthesis cross times 14 straight L. prisma equals 228 plus 616 straight L. prisma equals 844 space cm squared end style   

 

begin mathsize 14px style V equals L. a l a s cross times t i n g g i. p r i s m a V equals 1 half cross times left parenthesis A B plus E F right parenthesis cross times A E cross times B C V equals 1 half cross times left parenthesis 12 plus 7 right parenthesis cross times 7 cross times 14 V equals fraction numerator 1 over denominator up diagonal strike 2 end fraction cross times 19 cross times 7 cross times up diagonal strike 14 V equals 19 cross times 7 cross times 7 V equals 931 space c m cubed end style 

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