Question

Use the image to answer the question.

4 equal-sized isosceles triangles are placed with a square in the center so that the base of an isosceles triangle aligns with each side of the square. The height of an isosceles triangle is 6.8 centimeters. The side length of the square is 8 centimeters.

Bradley measured a square pyramid and drew the net shown to represent his measurements. What is the surface area of the square pyramid?

(1 point)
Responses

272 square centimeters
272 square centimeters

281.6 square centimeters
281.6 square centimeters

172.8 square centimeters
172.8 square centimeters

145.1 square centimeters
145.1 square centimeters
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Answer 1

Surface area = area of base + 4 × area of one triangular face.
Base area = 8^2 = 64 cm^2.
Triangle area = (1/2)·8·6.8 = 27.2 cm^2, so 4 triangles = 108.8 cm^2.
Total = 64 + 108.8 = 172.8 cm^2.

Answer: 172.8 square centimeters.