Simplify radicals please
1 answer:
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The Lateral Surface Area of Square based pyramid whose height= 71 feet Slant height= 90 feet and Base= 115 feet is 20700 .
The Lateral Surface Area is 20700
The word "lateral" means "belonging to the side". So the lateral area of a square pyramid is the sum of the areas of its side faces. This is also known as the lateral surface area (LSA) of the square pyramid. We know that a square pyramid has:
- a base which is a square.
- 4 side faces, each of which is a triangle.
It is given that,
- height, h= 71 feet
- Slant height, l= 90 feet
- Base, b= 115 feet
Lateral Surface Area of square pyramid is,
LSA=
Where p= perimeter of base
l= slant height
Perimeter of base = 4 x side
= 4 x 115
= 460 feet
Now, Lateral Surface Area of square pyramid is,
=
= 460 x 45
= 20700
Hence the Lateral Surface Area of square pyramid is 20700
Learn more about Lateral Surface Area of Pyramid here:
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boys (b): b
girls (g): b + 100
total (T) = b + g
I am going to set up the proportion as "boys" to "total"
⇒
⇒ 3(2b + 100) = 10(b)
⇒ 6b + 300 = 10b
⇒ 300 = 4b
⇒ 75 = b
girls (g): b + 100 = (75) + 100 = 175
Answer: boys = 75, girls = 175