Odpowiedź :
[tex]V = a^3\\[/tex]
1)
[tex]V = 64cm^3\\64cm^3=a^3\\a = \sqrt[3]{64}\\a = 4\\Pc = 6a^2=6*4^2=6*16=96cm^2[/tex]
2)
[tex]V = 128cm^3\\128cm^3=a^3\\a = \sqrt[3]{128}=4\sqrt[3]{2}\\Pc = 6a^2 = 6(4\sqrt[3]{2})^2=6*16\sqrt[3]{4}=96\sqrt[3]{4}cm^2[/tex]
3)
[tex]V = 384cm^3\\384 = a^3\\a = \sqrt{384} = 8\sqrt{6}\\Pc = 6a^2=6*(8\sqrt{6})^2=6*64*6=2304cm^2[/tex]
4)
[tex]V = 96cm^3\\96 = a^3\\a = \sqrt{96} = 4\sqrt{6}\\Pc = 6a^2=6*(4\sqrt{6})^2=6*16*6=576cm^2[/tex]
Odpowiedź:
Pc = 96 cm²
Szczegółowe wyjaśnienie:
[tex]V = a^{3}\\oraz\\V = 64 \ cm^{3}\\\\a^{3} = 64\\\\a = \sqrt[3]{64}\\\\a = 4 \ cm\\\\\\P_{c} = 6a^{2} = 6\cdot(4 \ cm)^{2} = 6\cdot16 \ cm^{2} = 96 \ cm^{2}[/tex]