Odpowiedź:
a)
V = 27 cm³
Pc = 54 cm²
b)
V = 24 cm³
Pc = 52 cm²
Szczegółowe wyjaśnienie:
a) Sześcian:
[tex]a = 3 cm\\\\V = a^{3} = (3 \ cm)^{3} = 3 \ cm\times 3 \ cm\times 3 \ cm =\boxed{ 27 \ cm^{3}}\\\\P_{c} = 6a^{2} = 6\cdot(3 \ cm)^{2} = 6\times3 \ cm\times 3 \ cm =\boxed{ 54 \ cm^{2}}[/tex]
b) Prostopadłościan:
[tex]a = 2 \ cm\\b = 3 \ cm\\c = 4 \ cm\\\\V = abc = 2 \ cm\times 3 \ cm\times 4 \ cm = \boxed{24 \ cm^{3}}\\\\P_{c} = 2ab + 2ac + 2bc =2(ab+ac+bc)\\\\P_{c} = 2(2 \ cm\times 3 \ cm + 2 \ cm\times 4 \ cm+3 \ cm\times4 \ cm) = 2(6 \ cm^{2}+8 \ cm^{2}+12 \ cm^{2})\\\\P_{c} = 2\times 26 \ cm^{2} = \boxed{52 \ cm^{2}}[/tex]
