# Find the slant height of the regular square pyramid surface area is 150 cm squared and base area is 25 cm squared

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by gandalang

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by gandalang

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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 = + Lateral Area (4 AΔ)

150 = 25 + LA

LA = 125 = 4 AΔ

AΔ = 125/4

Recall that AΔ = 1/2 bh

= (5)(h)

h = 25/2 = 12.5cm

Therefore, the slant height is **12.5 cm**.

The base must have 5cm side since it's a square w/ area 25cm².

SA = + Lateral Area (4 AΔ)

150 = 25 + LA

LA = 125 = 4 AΔ

AΔ = 125/4

Recall that AΔ = 1/2 bh

= (5)(h)

h = 25/2 = 12.5cm

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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

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