Download Name: Period:____ Test Date:______ Review of Module 3 Test

Name:_________________________________________
Review of Module 3 Test
Period:____ Test Date:__________
1. Describe the shape of the lateral faces of the following solids.
 rectangular prism
 triangular prism
 rectangular pyramid
 triangular pyramid
Explain how you can tell if a prism is rectangular, triangular or hexagonal.
2. Consider a can of soup and describe each of the following:

The lateral area is represented by ________________________

The surface area is ________________________

The volume is _______________________________
3. Calculate the lateral area, surface area and volume for a cone that has a diameter of 10 and a
height of 12. Round to the hundredths place.
4. Determine the lateral area, surface area and volume of the triangular prism shown below.
5. If the surface area of a sphere is 256𝜋 in2, find the radius.
6. Determine the diameter of a sphere with a volume of 5000 in3. Round to the tenths.
7. Kristie can choose a cylinder has a height of 8m and a diameter of 8 meters or a cube with sides
of 8 m. What is the difference in the volume of the two solids? Round to the hundredths.
8. For each figure sketch the shape a cross section that is parallel to the base.
9. A prism has bases in the shape of a regular hexagon. If the volume of the prism is 27 cm3 and its
height is 6 cm, what is the area of each base?. The distance between the hexagonal bases is 6 cm.
10. For each figure, find the area, to the nearest unit, of the shaded region.
11. The diagram to the right shows a right pentagonal prism.
Name the faces that must be congruent.
Name at least 2 line segments (edges) that must be congruent.
Name 2 line segments (edges) that must be parallel.
Name 2 line segments (edges) that must be perpendicular.
12. Ashley has a porch on her house with a flat roof that measures 12 by 15 feet. A winter storm is
predicted to drop 30 inches of snow. The architect says the roof can support 16,000 pounds. If the
density of the fresh snow is 10 pounds/ft3, is the roof going to be able to support the weight?
13. An art project has the shape below, with units measured in centimeters. The student need to
cover the shape with glitter. How many square centimeters will be covered? The packaging on the
glitter says one package covers 100 cm 2. There are 22 students in the art class. How many
packages are needed for this project?
14. Δ HIJ ~ ΔXYZ. The ratio of the areas is 25/16. If XY has a length of 40, what is the length
of HI?
15. In the accompanying triangle, BD = 3 DA= 6.
The area of ΔABC is 45. Find the area of trapezoid ADEC.
16. Find the area of the shape below.