Subjects geometry

Pyramid Net B0534D

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1. The problem asks to identify which diagram is the correct net for a pyramid with a triangular base where each side of the base is 7 ft and the height from the base to the apex is 6.1 ft. 2. A net of a pyramid consists of the base shape and the triangular faces unfolded flat. For a triangular pyramid (tetrahedron), the net includes one triangle for the base and three triangles for the sides. 3. The base triangle has sides of 7 ft each, so it is an equilateral triangle. 4. The side triangles are isosceles triangles with a base of 7 ft and two equal sides representing the slant heights. 5. The height from the base to the apex is 6.1 ft, which corresponds to the perpendicular height of the pyramid, not the slant height. 6. The slant height is given as 7 ft in the top diagram, which matches the side lengths of the triangular faces in the net. 7. The bottom diagram shows a net with one triangle base of 7 ft sides and three triangles with sides 11 ft and right angles, which does not match the pyramid's dimensions. 8. Therefore, the top diagram with the triangular base of 7 ft sides and side triangles with slant heights of 7 ft is the correct net for this pyramid. Final answer: The top diagram is the correct net for the pyramid.