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Olin [163]
3 years ago
7

What is the lateral surface area of the square pyramid below?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

=4(\dfrac{1}{2}\times Base \times Height )\\\\=4(\dfrac{1}{2} \times 3 \times 8 )\\\\=4(\dfrac{1}{2} \times 24 )\\\\=4 \times 12\\\\=48\,\,inch^2

Therefore, Lateral surface area of the pyramid= 48\,\,inch^2

Step-by-step explanation:

The lateral surface area of the pyramid is the area of the all of its four triangular faces, excluding base :

Area of a triangle is:

=\dfrac{1}{2} \times Base \times Height\\

Base= 3 inches

Height=8 inches

Lateral surface area of the pyramid:  

=4(\dfrac{1}{2}\times Base \times Height )\\\\=4(\dfrac{1}{2} \times 3 \times 8 )\\\\=4(\dfrac{1}{2} \times 24 )\\\\=4 \times 12\\\\=48\,\,inch^2

Therefore, Lateral surface area of the pyramid= 48\,\,inch^2

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