9. v kubus = 27000 cm³
r³ = 27000
r = 90cm
perbandingan sisi siku-siku = 2:1
L siku-siku = ½ x r x ½ r
= ½ x 90 x 45 = 2025 cm²
L sama kaki = 2025 cm²
alas = r = 90 cm
maka ½ x r x t = 2025
½ x 90 x t = 2025
t = 45 cm
panjang sisi miring :
p² = 45² + 45² = 45√2 cm
10. L = s x s = s² = 64 m²
s = √64 = 8m
FG² = FD² + DG²
= 4² + 4² = 4√2 m
FH = ½ FG = 2√2 m
HB = BD - DH
DH² = FD² - FH² = 4² - (2√2)²
= 16 - 8 = 8
DH = √8 = 2√2 m
BD² =AD² + AB² = 8² + 8² = 2 x 8²
BD = 8√2 m
HB = 8√2 - 2√2 = 6√2 m
FE = FG = 4√2 m
L trapesium = ½ x (HB +FE)xFH
= ½(6√2 + 4√2) x 2√2
= 5√2 x 2√2 = 10√4 = 20 m²
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9. v kubus = 27000 cm³
r³ = 27000
r = 90cm
perbandingan sisi siku-siku = 2:1
L siku-siku = ½ x r x ½ r
= ½ x 90 x 45 = 2025 cm²
L sama kaki = 2025 cm²
alas = r = 90 cm
maka ½ x r x t = 2025
½ x 90 x t = 2025
t = 45 cm
panjang sisi miring :
p² = 45² + 45² = 45√2 cm
10. L = s x s = s² = 64 m²
s = √64 = 8m
FG² = FD² + DG²
= 4² + 4² = 4√2 m
FH = ½ FG = 2√2 m
HB = BD - DH
DH² = FD² - FH² = 4² - (2√2)²
= 16 - 8 = 8
DH = √8 = 2√2 m
BD² =AD² + AB² = 8² + 8² = 2 x 8²
BD = 8√2 m
HB = 8√2 - 2√2 = 6√2 m
FE = FG = 4√2 m
L trapesium = ½ x (HB +FE)xFH
= ½(6√2 + 4√2) x 2√2
= 5√2 x 2√2 = 10√4 = 20 m²