Pertanyaan

Cermati gambar berikut! Hitunglah volume gelas di atas jika tingginya 6 cm!

Cermati gambar berikut! $\;$

Hitunglah volume gelas di atas jika tingginya 6 cm!

J. Joko

Master Teacher

Jawaban terverifikasi

Pembahasan

Alas prisma berbentuk segi 8 sama sisi. Bangun segi 8 dapat dibagi menjadi 8 segitiga sama kaki.

Alas prisma berbentuk segi 8 sama sisi.

Bangun segi 8 dapat dibagi menjadi 8 segitiga sama kaki.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a subscript increment end cell equals cell 2 space cm end cell row cell t subscript increment end cell equals cell square root of 3 squared minus 1 squared end root end cell row blank equals cell square root of 9 minus 1 end root end cell row blank equals cell square root of 8 end cell row blank equals cell square root of 4 times 2 end root end cell row blank equals cell 2 square root of 2 space cm end cell row cell Volume space prisma end cell equals cell Luas space alas cross times tinggi space prisma end cell row blank equals cell 8 cross times L subscript increment cross times t subscript prisma end cell row blank equals cell 8 cross times fraction numerator a subscript increment plus t subscript increment over denominator 2 end fraction cross times t subscript prisma end cell row blank equals cell 8 cross times fraction numerator 2 cross times 2 square root of 2 over denominator 2 end fraction cross times 6 end cell row blank equals cell 96 square root of 2 space cm cubed end cell row blank blank blank row blank blank blank end table end style$