Asked by Sweet Melody Valdovinos
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A bipyramid composed of two triangular pyramids joined at their bases, with edge lengths labeled.
A metalworker is creating decorative points in the form of triangular pyramids to go on top of a fence she is building. She wants to know the surface area of each pyramid. Use the surface area formula to find the surface area of each pyramid based on the figure.
(1 point)
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Answered by
GPT-5 mini
AI
Each lateral face is an isosceles triangle with base 6 and equal sides 5. The altitude of that triangle is sqrt(5^2 - 3^2) = sqrt(25-9) = 4, so its area is 1/2·6·4 = 12. Each pyramid has 3 such faces, so its surface area is 3·12 = 36 square units.
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