Jawaban dan penyelesaian terlampir
Penjelasan dengan langkah-langkah:
Bantu Jawab
1) Panjang semua rusuk
PQ = SR = TU = WS → 12 cm
PS = QR = VU = TW → 3 cm
PT = QU = RV = SW → 4 cm
2) Luas PQRS = Luas TUVW
= 12 × 3
= 36 cm²
Luas QRUV = Luas PSWT
= 3 × 4
= 12 cm²
Luas PQUT = Luas SRVW
= 12 × 4
= 48 cm²
3) Diagonal TQ = PU = SV = RW
= √(12²+4²)
= √(144+16)
= √160
= √16×10
= 4√10 cm
Diagonal UR = VQ = PW = TS
= √(4²+3²)
= √(16+9)
= √(25)
= 5 cm
Diagonal PR = SQ = TV = WV
= √(12²+3²)
= √(144+9)
= √(153) cm
4) Luas bidang Diagonal PRVT = WSQU
= √153 × 4
= 4√153 cm²
Luas bidang Diagonal PSVU = QRWT
= 4√10 × 3
= 12√10 cm²
Luas bidang diagonal TUSR = WVPQ
= 12 × 5
= 60 cm²
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Jawaban dan penyelesaian terlampir
Penjelasan dengan langkah-langkah:
Bantu Jawab
1) Panjang semua rusuk
PQ = SR = TU = WS → 12 cm
PS = QR = VU = TW → 3 cm
PT = QU = RV = SW → 4 cm
2) Luas PQRS = Luas TUVW
= 12 × 3
= 36 cm²
Luas QRUV = Luas PSWT
= 3 × 4
= 12 cm²
Luas PQUT = Luas SRVW
= 12 × 4
= 48 cm²
3) Diagonal TQ = PU = SV = RW
= √(12²+4²)
= √(144+16)
= √160
= √16×10
= 4√10 cm
Diagonal UR = VQ = PW = TS
= √(4²+3²)
= √(16+9)
= √(25)
= 5 cm
Diagonal PR = SQ = TV = WV
= √(12²+3²)
= √(144+9)
= √(153) cm
4) Luas bidang Diagonal PRVT = WSQU
= √153 × 4
= 4√153 cm²
Luas bidang Diagonal PSVU = QRWT
= 4√10 × 3
= 12√10 cm²
Luas bidang diagonal TUSR = WVPQ
= 12 × 5
= 60 cm²