1. Each small square represents 1 square centimeter. a. Sketch and label the solid formed by rotating this two-dimensional figure around the horizontal axis shown. b. What is the volume of this solid?

To solve this question, we will follow these steps:Step 1: Sketch and Label the SolidSince we are rotating a 2D figure around a horizontal axis, the solid formed will be a three-dimensional object. The given 2D figure is a rectangle with a length of 6 cm and a width of 4 cm. When this rectangle is rotated around the horizontal axis (which we can assume to be the longer side of the rectangle), it will form a cylinder.The height of the cylinder will be equal to the length of the rectangle (6 cm), and the diameter of the base of the cylinder will be equal to the width of the rectangle (4 cm). Therefore, the radius of the base of the cylinder will be half of the width, which is 2 cm.Step 2: Calculate the Volume of the SolidThe volume of a cylinder is given by the formula: where is the volume, is the radius of the base, and is the height of the cylinder.Given that the radius is 2 cm and the height is 6 cm, we can substitute these values into the formula: Since we are not given a specific value to approximate , we will leave the answer in terms of .Answer:b. The volume of the solid formed by rotating the given rectangle around the horizontal axis is cubic centimeters.