Respuesta :
Answer:
5 m
Step-by-step explanation:
The volume (V) of a square based pyramid is
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of base and h the height ), thus
[tex]\frac{1}{3}[/tex] A × 12 = 100, that is
4A = 100 ( divide both sides by 4 )
A = 25
Hence s² = 25 ← s is the side of square base
Take the square root of both sides
s = [tex]\sqrt{25}[/tex] = 5
V = Ab·h : 3
100m³ = Ab·12m : 3
300m³ = Ab·12m
Ab = 300m³/12m
= 25m²
Ab = 25m² = L²
L = √25m²
L = 5m
