Math 6/GEOMETRY Practice Test: 2D and 3D Figures

Math 6/GEOMETRY Practice Test: 2D and 3D Figures Name Date 1) Define the terms below and give an example of each. a. Area

b. Composite figure

c. Bases

d. Volume

2) For which plane figures does the formula A=bh work? Circle all that apply. trapezoid rectangle triangle square parallelogram rhombus

3) Show two different ways to find the area of the figure below. Explain your methods.

#4 - 6) Find the area of each figure below.

y y 10 10 9 8 7 6 5 5 4 3 2 1

0 1 2 3 4 5 6 7 8 9 10 x 0 1 2 3 4 5 6 7 8 9 10 x

Math 6 Practice Test GEOMETRY: 2D and 3D Figures Page 1 of 4 Revised 2014 NACS 7) Find the area of a trapezoid with height of 5 cm and bases of 4 cm and 7 cm.

8) A square has a perimeter of 48 inches. What is the area of the square?

9) Plot the given points and connect them as you go. Identify the specific shape. Then compute the area of the figure.

-10 -10 -5 0 5 10

10) Show or explain 2 different ways to find the area of the composite figure below. Then find the area. Note: All angles are right angles.

Math 6 Practice Test GEOMETRY: 2D and 3D Figures Page 2 of 4 Revised 2014 NACS 11) Identify the solid figure for each given net. a) b) c)

12) Find the volume and surface area of the rectangular prism shown below.

Volume = ______

Surface Area = ______

13) Find the volume and surface area of the cube shown below.

Volume = ______

Surface Area = ______

14) Find the surface area of the triangular prism.

15) A can of varnish will cover 64 mof wood. If you want to put one coat of varnish on each of 24 wooden cubes with the dimensions shown at the right, how many cans of varnish should you buy? Show your work.

Math 6 Practice Test GEOMETRY: 2D and 3D Figures Page 3 of 4 Revised 2014 NACS 16) A packaging firm has been hired to create a box for children blocks. The firm was hired because it could save money by creating a box using the least amount of material. The packaging firm knows that the volume of the box must be 50 cm.

a. What are the possible dimensions for the box if the volume must be exactly 18 cm.

b. Which set of dimensions should the packaging firm choose in order to use the least amount of material? Show your work and explain your reasoning.

Long-term Memory Review

17) Solve.

18) There are 108 eggs to be packed into egg containers. If the egg containers hold one and a half dozen eggs, how many containers will be needed?

19) Find the value of p in the proportion.

20) Draw a model to solve.

Math 6 Practice Test GEOMETRY: 2D and 3D Figures Page 4 of 4 Revised 2014 NACS