Question

for each problem, sketch the polyhedron that can be assembled from the given net. 7) 8) 9) 10) for each problem, sketch a possible net of the given polyhedron. 11) 12) 13) 14)

Explanation:

Step1: Identify polyhedron for net in 7

The net in 7 has 6 rectangular faces. This is a rectangular prism. To sketch it, draw a 3 - D shape with 6 rectangles where opposite rectangles are congruent.

Step2: Identify polyhedron for net in 8

The net in 8 has 4 triangular faces. It is a triangular pyramid. Sketch a 3 - D shape with a triangular base and 3 triangular sides meeting at a point.

Step3: Identify polyhedron for net in 9

The net in 9 has 2 triangular bases and 3 rectangular lateral faces. It is a triangular prism. Sketch two parallel triangles connected by 3 rectangles.

Step4: Identify polyhedron for net in 10

The net in 10 has a square base and 4 triangular faces. It is a square - based pyramid. Sketch a square as the base and 4 triangles rising from its sides to meet at a vertex.

Step5: Sketch net for polyhedron in 11

The polyhedron in 11 is a square - based pyramid. A possible net has a square in the middle and 4 triangles attached to its sides.

Step6: Sketch net for polyhedron in 12

The polyhedron in 12 is a triangular prism. A possible net has 2 triangles and 3 rectangles arranged such that the triangles are at the ends and the rectangles connect them.

Step7: Sketch net for polyhedron in 13

The polyhedron in 13 is a rectangular prism. A possible net has 6 rectangles arranged in a way that they can be folded to form the prism, like a cross - like pattern with rectangles.

Step8: Sketch net for polyhedron in 14

The polyhedron in 14 is a triangular pyramid. A possible net has 4 triangles arranged so that they can be folded to form the pyramid.

Answer:

For 7: Rectangular prism sketch. For 8: Triangular pyramid sketch. For 9: Triangular prism sketch. For 10: Square - based pyramid sketch. For 11: Square - based pyramid net sketch. For 12: Triangular prism net sketch. For 13: Rectangular prism net sketch. For 14: Triangular pyramid net sketch.