Jawaban:
a. Luas bidang PQRS = 49 cm²
b. Panjang diagonal bidang SQ = 7√2 cm
c. Panjang diagonal ruang WQ = 7√3 cm
d. Luas bidang diagonal SQUW = 49√2 cm²
Penjelasan dengan langkah-langkah:
a. Luas bidang PQRS
L = s × s
= 7 × 7
= 49 cm²
b. Panjang diagonal bidang SQ
SQ² = √PQ² + PS²
= √7² + 7²
= √49 + 49
= √98
= √49 × √2
= 7√2 cm
c. Panjang diagonal ruang WQ
WQ = √PQ² + PS² + SW²
= √7² + 7² + 7²
= √49 + 49 + 49
= √147
= √49 × √3
= 7√3 cm
d. Luas bidang diagonal SQUW
Luas SQUW = SQ × QU
= 7√2 × 7
= 49√2 cm²
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Jawaban:
a. Luas bidang PQRS = 49 cm²
b. Panjang diagonal bidang SQ = 7√2 cm
c. Panjang diagonal ruang WQ = 7√3 cm
d. Luas bidang diagonal SQUW = 49√2 cm²
Penjelasan dengan langkah-langkah:
a. Luas bidang PQRS
L = s × s
= 7 × 7
= 49 cm²
b. Panjang diagonal bidang SQ
SQ² = √PQ² + PS²
= √7² + 7²
= √49 + 49
= √98
= √49 × √2
= 7√2 cm
c. Panjang diagonal ruang WQ
WQ = √PQ² + PS² + SW²
= √7² + 7² + 7²
= √49 + 49 + 49
= √147
= √49 × √3
= 7√3 cm
d. Luas bidang diagonal SQUW
Luas SQUW = SQ × QU
= 7√2 × 7
= 49√2 cm²