Question

O piramida triunghiulara regulata are volumul egal cu 3✓3 cm la a treia si inaltimea de 1 cm .Aflati latura bazei

Answer 1

V = h × Ab /3

$3\sqrt{3} = \frac{1 \times \frac{ {l}^{2} \sqrt{3} }{4} }{3}$

$\frac{ \frac{ {l}^{2} \times \sqrt{3} }{4} }{3} = 3 \sqrt{3}$

$\frac{ {l}^{2} \times \sqrt{3} }{ 4} =9 \sqrt{3}$

${l}^{2} \times \sqrt{3} = 36 \sqrt{3}$

${l}^{2} = 36$

l = 6 cm ( latura bazei e 6 cm)