[tex]d = a \sqrt{2} [/tex]
[tex]4 \sqrt{2} = a \sqrt{2} | \times \sqrt{2} [/tex]
[tex]8 = 2a | \div 2[/tex]
[tex]a = 4cm[/tex]
[tex]pp = {a}^{2} = {4}^{2} = 16 {cm}^{2} [/tex]
[tex]h = 3a = 3 \times 4 = 12cm[/tex]
[tex]v = pp \times h[/tex]
[tex]v = 16 \times 12 = 192 {cm}^{3} [/tex]
[tex]pc = 2pp + 4pb[/tex]
[tex]pc = 2 \times 16 + 4 \times 4 \times 12 = 32 + 192 = 224 {cm}^{2} [/tex]