Here are the answers to the questions based on the provided information:
Question 1
A) What two-dimensional shape is formed by a horizontal cross section of a cube?
Response: a square
Question 2
A) An Olympic swimming pool is in the shape of a rectangular prism. What is the two-dimensional shape of the horizontal cross section?
Response: a rectangle
Question 3
A) Suppose △ABC with A(0,0), B(3,5), and C(0,5) is rotated about side CB. Identify the three-dimensional object formed.
Response: a cone with a diameter of 6 units and a height of 5 units
(Note: The diameter is derived from the distance from A to B, which is 6 units, while the height is the vertical length, which is 5 units.)
Question 4
A) A circle has its center at the origin of a coordinate plane. If you were to isolate one-quarter of the circle in Quadrant III and rotate that quarter about the x-axis, what three-dimensional object would be formed?
Response: a hemisphere
Question 5
A) An isosceles right triangle with legs measuring 4 inches is rotated about one of its legs. What three-dimensional object is formed as a result?
Response: cone with a diameter of 4 inches
Please let me know if you need any further clarification on these questions!