Question

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Answer 1

Answer:

5 m

Step-by-step explanation:

The volume (V) of a square based pyramid is

V = $\frac{1}{3}$ Ah ( A is the area of base and h the height ), thus

$\frac{1}{3}$ 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 = $\sqrt{25}$ = 5

Answer 2

V = Ab·h : 3

100m³ = Ab·12m : 3

300m³ = Ab·12m

Ab = 300m³/12m

= 25m²

Ab = 25m² = L²

L = √25m²

L = 5m