Question

Which is the net of this solid? A pentagonal pyramid is shown. A net is shown with a square in the middle and 4 identical triangles on the 4 sides of the square. A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon. A net is shown with a triangle in the middle and 3 identical triangles on the 3 sides of the triangle in the middle. A net is shown with a hexagon in the middle and 6 identical triangles on the 6 sides of the hexagon.

Answer 1

Answer: Choice B

A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon

The pentagon forms the base of the pentagonal pyramid. Each lateral side is a triangle that meets at the very top of the pyramid. The base stays on the floor while the sides are folded up.

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There are other possible net configurations to form a pentagonal pyramid, but the other answer choices do not make a pentagonal pyramid.

• Choice A produces a square pyramid.
• Choice C makes a triangular pyramid (aka tetrahedron).
• Choice D makes a hexagonal pyramid.

So we can rule choices A, C and D out.