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• Diagonal 1 = 10 cm
• Diagonal 2 = x cm
Kemungkinan 2:
• Diagonal 1 = 2x cm
• Diagonal 2 = 10 cm
*Kemungkinan 1:*
Jika diagonal 1 = 10 cm, maka 2x = 10 dan x = 5. Jadi, diagonal 2 = x = 5 cm.
Luas alas belah ketupat = 1/2 × diagonal 1 × diagonal 2
Luas alas = 1/2 × 10 × 5 = 25 cm²
Volume prisma = Luas alas × tinggi
Volume = 25 × 15 = 375 cm³
*Kemungkinan 2:*
Jika diagonal 2 = 10 cm, maka x = 10 dan diagonal 1 = 2x = 20 cm.
Luas alas belah ketupat = 1/2 × diagonal 1 × diagonal 2
Luas alas = 1/2 × 20 × 10 = 100 cm²
Volume prisma = Luas alas × tinggi
Volume = 100 × 15 = 1500 cm³
Jadi, kemungkinan-kemungkinan volume prisma tersebut adalah *375 cm³* dan *1500 cm³*.
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