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a square pyramid has a height of 1.5 inches, a slant height of 3.9 inches and a volume of 25.92 inches cubed.
to the nearest square inch, what is the lateral surface area of the pyramid?
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1. Divide the volume of the pyramid by the height and multiply by 3.
You will get the area of the base:
A = = 51.84 square inches.
2. Take the square root of the area of the base to get the length of the edge at the base
= = 7.2 inches.
3. Calculate the area of one lateral face, which is a triangle:
S = = 14.04 square inches.
4. Multiply it by 4 to get the full lateral surface, consisting of 4 faces:
4*14.04 = 56.16 square inches.
5. It is your answer.
On surface area of pyramids see the lessons
- Surface area of pyramids
- Solved problems on surface area of pyramids
- Overview of lessons on surface area of pyramids
in this site.
Moreover, you have free of charge online textbook in Geometry
- GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.