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a)
Pc= 2Pp+Pb
Pp= ½ 5 × 3= 7,5
2Pp= 7,5 × 2= 15
5²+3²=x²
25+9=x²
34=x²
x=√34
Pb= 9 × 3 + 5 × 9 + √34 × 9 = 27 + 45 + 9√34 = 72 + 9√34
Pc= 15 + 72 + 9√34 = 87 +9√34
V= Pp × H
V= 7,5c × 9
V= 67,5
Sprawdź czy umiesz:
1) V= a × b × c
6dm
30cm=3dm
45cm=4,5dm
V=6 × 3 × 4,5 = 81 dm³ = 81 l
Odp. B
2)
Pc= 2Pp+Pb
Pp= a₂√3 : 4
Pp= 9√3 : 4
2Pp = 2 × 9√3 :4
2Pp= 18√3 : 4
2Pp= 9√3 : 2
Pb= 5 × 3 × 3 = 45 cm²
Pc= 45 cm² + 9√3 : 2
Odp. D
3)
16√3= a²√3 : 4 × a / ×4
64√3= a³√3 / : √3
64√3 : √3 = a³
64= a³
a= 4
ilość krawędzi = 9
suma = 9 × 4 = 36 cm
Odp. A