Math Problem Statement
Solution
The question asks to find the surface area of a regular square pyramid, with the following information provided in the diagram:
- The base side length () is cm.
- The slant height () is cm.
The surface area () of a square pyramid is given by the formula: Where:
- is the area of the base (a square),
- is the area of the four triangular faces.
Let's calculate the surface area using this formula.
Given:
I'll compute it now.The surface area of the regular square pyramid is .
Would you like more details on this calculation or have any other questions? Here are a few related questions to consider:
- How would the formula change if the base were a rectangle instead of a square?
- How do you calculate the height of the pyramid if only the slant height is known?
- How would the surface area change if the slant height were doubled?
- How do you calculate the volume of this square pyramid?
- What is the lateral surface area, and how does it differ from the total surface area?
Tip: Always check that the units for all dimensions match when applying surface area or volume formulas!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Square Pyramid
Formulas
Surface area of a square pyramid: A = s^2 + 2 * s * l
Theorems
-
Suitable Grade Level
Grades 6-8
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