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Hitunglah luas permukaan dan volumenya.

Pertanyaan

Hitunglah luas permukaan dan volumenya.

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Asumsikan alas prisma tersebut berbentuk segitiga siku-siku. Dengan Teorema Pythagoras diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row AB equals cell square root of AC squared minus BC squared end root end cell row blank equals cell square root of 15 squared minus 12 squared end root end cell row blank equals cell square root of 225 minus 144 end root end cell row blank equals cell square root of 81 end cell row blank equals cell 9 space cm end cell end table end style 

Luas permukaan prisma:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row L equals cell 2 cross times L subscript a l a s end subscript plus capital sigma L subscript s i s i space t e g a k end subscript end cell row blank equals cell 2 cross times 1 half cross times 9 cross times 12 plus 18 open parentheses 9 plus 12 plus 15 close parentheses end cell row blank equals cell 108 plus 18 open parentheses 36 close parentheses end cell row blank equals cell 108 plus 648 end cell row blank equals cell 756 space cm squared end cell end table end style 

Volume prisma:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row V equals cell L subscript a l a s end subscript times t end cell row blank equals cell fraction numerator 1 over denominator up diagonal strike 2 end fraction cross times 9 cross times up diagonal strike 12 to the power of space 6 end exponent cross times 18 end cell row blank equals cell 9 cross times 6 cross times 18 end cell row blank equals cell 972 space cm cubed end cell end table end style 

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