Download Geometry Honors Notes – Chapter 12: Surface Area and Volume of

Topics to Review for Chapter 12 Test (12.1-12.7)
Part I – Sometimes, Always, Never
1. The area of the base of cone is >, <, =, ,  its lateral
area.
2. If two solids are similar, then the ratio of their
volumes is equal to the ratio of the lengths of
corresponding segments in the solids.
3. The lateral area of a square pyramid is equal to onehalf the product of the perimeter of the base and the
slant height.
4. The product of the areas of the six faces of a
rectangular box is equal to the cube of its volume.
5. If the radius of a cylinder is doubled and the height
is cut in half, then the volume is doubled.
13. Cube with cylindrical hole. Each side of the cube is
4 cm and the hole is 2 cm in diameter.
14. Find the volume of the solid obtained by curling the
sector of paper into a cone.
Part II – Calculations
Given: a prism with base area 10, base perimeter 6, and
height 4,
6. Find the volume.
7. Find the total surface area.
8. The total number of faces in a certain prism is 8.
What is the geometric name for the shape of the base?
15. A sphere is inscribed in a cylinder. For what
diameter of the sphere will the numerical value of
the cylinder’s total surface area equal the volume of
the cylinder?
16. Find the volume of a sphere whose surface area is
144 .
17. A cylinder is cut on a slant as shown. Find the
solid’s volume.
Find the volume and total surface area of each solid.
9. Cone
18. Find the volume of the frustum shown.
10. Hemisphere
11. Regular hexagonal prism
19. Four cuts are made in the tree log to remove the bark.
What is the volume of the remaining piece?
12. Prism formed by folding along dashed lines
8
4
4
4
6
7
3
9