Question

for each problem, sketch a possible net of the given polyhedron. 11) 12) 13) 14)

Explanation:

Step1: Analyze polyhedron 11

The polyhedron in 11 is a square - based pyramid. Its net consists of a square (the base) and four triangles (the lateral faces) attached to the sides of the square.

Step2: Analyze polyhedron 12

The polyhedron in 12 is a triangular prism. Its net has two congruent triangles (the bases) and three rectangles (the lateral faces) such that the rectangles are attached to the sides of the triangles.

Step3: Analyze polyhedron 13

The polyhedron in 13 is a rectangular prism. Its net has six rectangles arranged in such a way that opposite rectangles are congruent and adjacent rectangles share a side.

Step4: Analyze polyhedron 14

The polyhedron in 14 is a square - based pyramid with equal - length edges. Its net consists of a square (the base) and four congruent isosceles triangles (the lateral faces) attached to the sides of the square.

Since this is a sketching problem, a visual description is given above instead of an actual sketch.

Answer:

For 11: A square with four triangles attached to its sides.
For 12: Two triangles with three rectangles attached to their sides.
For 13: Six rectangles arranged with opposite ones congruent.
For 14: A square with four congruent isosceles triangles attached to its sides.