Symmetries and Dimensions of Cross-Sections

Questions

1. MultiChoice

   If a 3D solid has horizontal cross-sections that are all identical in size and shape, the solid is a:

2. MultiChoice

   If a 3D solid has horizontal cross-sections that maintain the same shape but decrease linearly in size to a point, it is a:

3. MultiChoice

   A cylinder has base radius 4 cm and height 10 cm. What is the area of a horizontal cross-section parallel to the base?

4. MultiChoice

   A cube has side length 6 cm. What is the area of a cross-section parallel to one of its faces?

5. MultiChoice

   A rectangular prism has dimensions 3 cm by 4 cm by 5 cm. A slice is made parallel to the 3 cm by 4 cm face. What is the perimeter of the cross-section?

6. MultiChoice

   A square pyramid has a base area of 49 sq cm. What is the length of each side of a cross-section parallel to the base right at the base?

7. MultiChoice

   How many line(s) of symmetry does a circular cross-section of a cylinder have?

8. MultiChoice

   How many lines of symmetry does a square cross-section of a cube have?

9. MultiChoice

   A vertical cross-section through the center of a cone with height 12 cm and base diameter 10 cm is an isosceles triangle. What is its base and height?

10. MultiChoice

    A vertical cross-section through the center of a sphere with diameter 14 cm has what area?

11. MultiChoice

    The dimensions of a cross-section parallel to the base of a right prism are:

12. MultiChoice

    If the scale factor of a cross-section of a pyramid parallel to the base is 1/2 the base side length, what fraction of the base area is the cross-section area?