Question

O prisma dreaptã cu bazele tringhiuri echilaterale are muchia bazei egala cu 4 cm şi inaltimea 2 radical din 6. Volumul prismei este egal cu ....

Answer 1

succes! .............

Answer 2

[tex]\it \mathcal{V} = \mathcal{A}_b\cdot h \\\;\\ \mathcal{A}_b = \dfrac{\ell^2\sqrt3}{4} = \dfrac{4^2\sqrt3}{4} = \dfrac{16\sqrt3}{4} = 4\sqrt3\ cm^2 [/tex]

$\it\mathcal{V} = 4\sqrt3\cdot2\sqrt6=8\sqrt{18} = 8\cdot\sqrt{9\cdot2} = 8\cdot3\sqrt2 =24\sqrt2\ cm^3$