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2014-05-28T16:44:20+08:00

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A regular pyramid means its base is a regular polygon (equal sides).
The base must have 5cm side since it's a square w/ area 25cm².

SA =  A_{base} + Lateral Area (4 AΔ)

150 = 25 + LA
LA = 125 = 4 AΔ
AΔ = 125/4 

Recall that AΔ = 1/2 bh

 \frac{125}{4}  =  \frac{1}{2}  (5)(h)

h = 25/2 = 12.5cm

Therefore, the slant height is 12.5 cm.
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2014-05-28T16:48:00+08:00

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Surface Area=150cm²
Base Area=25cm²

From the formula of Area of Square=side²
We obtain side=5cm

Total Surface Area=Base Area + Lateral Surface Area
LSA= TSA- Base Area
=150cm²-25cm²
=125cm²

From the Formula of LSA=1/2Pl
where: P=Perimeter of Base
           l=slant height

125cm²=1/2 (20cm)l
l=125cm²÷10cm
l=12.5cm



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