The-base-of-a-right-pyramid-is-a-hexagon-of-side-16-cm-and-its-lateral-surface-is-720-sq-cm-Is-the-height-of-the-pyramid-will-be-

Question Number 177253 by BaliramKumar last updated on 02/Oct/22

The base of a right pyramid is a hexagon of side 16 cm, and its lateral surface is 720 sq. cm. Is. the height of the pyramid will be

Answered by HeferH last updated on 02/Oct/22

\sqrt{33} ?

Answered by a.lgnaoui last updated on 02/Oct/22

s o i t AB base du pyramide hexagonsle

hauteur du pyramide

OA rayon du ceecle circonscrit

syrfsce de la base est \frac{AB \times CD}{2}

Surface laterale S = 6 \times \frac{AB \times CD}{2} = 3 AB \times CD

CD = \frac{S}{3 AB} = \frac{720}{48} = 15

{CD}^{2} = {OC}^{2} + x^{2} (x = haureur)

OC = OAsin 60 = 16 \times \frac{\sqrt{3}}{2} = 8 \sqrt{3}

x^{2} = {CD}^{2} - {OC}^{2} = 225 - 192 = 33

x = \sqrt{33} = 5, 74 c m

Commented by a.lgnaoui last updated on 02/Oct/22

Commented by a.lgnaoui last updated on 02/Oct/22

x = h = h a u t e u r d u P y r a m i d e

Commented by BaliramKumar last updated on 03/Oct/22

t h a n k s