Jawaban:
- x = 10
- p = 12
- luas permukaan = 108 cm²
- volume = 48 cm³
- volume = 426,6 cm³
Penjelasan dengan langkah-langkah:
1.
[tex] {x}^{2} = {a}^{2} + {b}^{2} \\ {x}^{2} = { 6 }^{2} + {8}^{2} \\ {x}^{2} = 36 + 64 \\ {x}^{2} = 100 \\ x = \sqrt{100} \\ x = 10 \: cm[/tex]
2.
[tex] {p}^{2} = {c}^{2} - {a}^{2} \\ {p}^{2} = {13}^{2} - {5}^{2} \\ {p}^{2} = 169 - 25 \\ {p}^{2} = 144 \\ p = \sqrt{144} \\ p = 12 \: cm[/tex]
3.
Luas alas (segitiga) = ½ × alas × tinggi
[tex]luas \: alas = \frac{1}{2} \times 4 \times 3 \\= 2 \times 3 \\ = 6\: {cm}^{2} [/tex]
Keliling alas (segitiga) = jumlah semua sisi alas
[tex]keliling \: alas = 3 + 4 + 5 = 12 \: cm[/tex]
Luas permukaan = (2 × luas alas)+(keliling alas × tinggi)
[tex](2 \times 6) + (12 \times 8) \\ 12 + 96 \\ 108 \: {cm}^{2} [/tex]
4.
Volume prisma segitiga siku-siku = Luas alas × tinggi
[tex] 6 \times 8 = 48 \: {cm}^{3} [/tex]
5.
volume limas segiempat = ⅓ × Luas alas × tinggi limas
Luas alas = sisi × sisi
[tex]8 \times 8 = 64 \: {cm}^{2} [/tex]
Volume
[tex] \frac{1}{3} \times 64 \times 20 \\ \frac{1}{3} \times 1280 \\ 426,6 \: {cm}^{3} [/tex]
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