Răspuns:
9.
muchia este egală cu latura
m=l
at=aria totală
[tex]at = l {}^{2} \sqrt{ 3} = 12 ^{2} \sqrt{3} = 144 \sqrt{3} [/tex]
h=înălțimea
[tex]h = \frac{l \times \sqrt{6} }{3} = \frac{12 \sqrt{3} }{3} = 4 \sqrt{6} [/tex]
v=volum
[tex]v = \frac{1}{3} \times \frac{l {}^{2} \sqrt{3} }{4} \times h = [/tex]
[tex] = \frac{1}{3} \times \frac{12 {}^{2} \sqrt{3} }{4} \times 4 \sqrt{6} = [/tex]
[tex] = \frac{1}{3} \times \frac{144 \sqrt{3} }{4} \times 4 \sqrt{6} = [/tex]
[tex] = \frac{144 \sqrt{3} }{12} \times 4 \sqrt{6 = } [/tex]
[tex] = 12 \sqrt{3} \times 4 \sqrt{6} = 48 \sqrt{18} = 144 \sqrt{2} [/tex]
