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The net of a square pyramid is shown below.
(Image showen)
What is the total surface area of the square pyramid in square meters?
A.432 m2
B.756 m2
C.504 m2
D.864 m2
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Answer:
864 m2 is the right answer of your question
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Step-by-step explanation:
Step 1. ( Finding area of each triangle )
- Each of the given four triangles is a right-angled triangle, whose base is 18 m and height is 12 m.
- Thus area of a triangle is (1/2 * 18 * 12) sq. m = 108 sq. m
Step 2. ( Finding the area of the four triangles )
- Area of a triangle is 108 sq. m
- Then, the total area of the four triangles is (4 * 108) sq. m = 432 sq. m
Step 3. ( Finding the area of the square base )
- The length of each side of the square is 18 m
- Then its area is (18 * 18) sq. m = 324 sq. m
Step 4. ( Finding surface area of the square pyramid )
- The square pyramid has four triangular faces and one square base.
- Thus the total surface area is (432 + 324) sq. m = 756 sq. m
Answer: Option B. 756 sq. m is correct
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