Question

La base de una pirámide es una región cuadrada que tiene 10k de lado; si la altura de la pirámide es de 12k, Calcule el volumen y el área total

Answer 1

Side of base of square, a = 10 km.

Height of pyramid , h = 12 km.

Volume of pyramid is given by :

$V=\dfrac{a^2h}{3}\\\\V=\dfrac{10^2\times 12}{3}\ km^3\\\\V=400\ km^3$

Surface area is given by :

$S.A=2ah + a^2\\\\S.A=(2 \times 10\times 12) + 10^2\ km^2\\\\S.A=340\ km^2$

Therefore, volume and surface area are 400 km³ and 340 km² respectively.

Hence, this is the required solution.