Question

1. draw a net of each composite 3 - d object: a. b.

Explanation:

Step1: Analyze part a

The object is a cone - cylinder composite. The net of the cylinder consists of two circles (top and bottom) and a rectangle (lateral surface). The net of the cone is a sector of a circle (lateral surface) and a circle (base).

Step2: Analyze part b

The object is a prism - pyramid composite. The net of the prism has rectangular faces (lateral) and two congruent polygon bases. The net of the pyramid has triangular faces (lateral) and a polygon base. However, as this is a drawing - based problem, a verbal description is provided for the process of drawing the net. To draw the net of part a, first draw two congruent circles for the cylinder bases. Then draw a rectangle with length equal to the circumference of the circle ($C = 2\pi r$) and width equal to the height of the cylinder. For the cone, draw a sector of a circle with arc - length equal to the circumference of the base circle of the cone and a small circle for the base of the cone. For part b, draw the rectangular faces of the prism adjacent to each other and the two congruent polygon bases. Then draw the triangular faces of the pyramid adjacent to the appropriate sides of the polygon base of the prism.

Answer:

For part a: Draw two congruent circles for cylinder bases, a rectangle for cylinder lateral surface, a sector for cone lateral surface and a circle for cone base. For part b: Draw rectangular faces of prism, two congruent polygon bases of prism, and triangular faces of pyramid adjacent to the prism base. (Note: A proper drawing should be made on paper with appropriate scale and accurate shapes, this is just a textual guide for the drawing process).