II. 3-Dimensional Space Figures (Matching):

3-D FIGURES TEST

(Calculator Active)

(Each problem will count approximately 1.5 points)

I. Vocabulary (Fill in the Blank): (PART 2 OF SCAN TRON)

1. Lateral Area A. Three dimensional figures with faces & edges 2. Net B. A pattern you can form into a space figure

3. Slant Height C. Sum of all the areas of surfaces on a space figure 4. Space Figures D. Area of surface(s) that are not part of the base(s) 5. Surface Area E. The space used to “fill up” a solid (in cubic units) 6. Volume F. The height of the side of face on a space figure

II. 3-Dimensional Space Figures (Matching): (PART 2 OF SCAN TRON - continued)

Match the name of the space figure with the correct picture of its shape.

7. Rectangular Prism 11. Triangular Prism 8. Square Pyramid 12. Triangular Pyramid 9. Hexagonal Prism 13. Cylinder

10. Cone 14. Sphere

G. H. I.

J. K. L.

III. 3-Dimensional Nets (Matching):

(PART 2 OF SCAN TRON - continued)

Match the name of the space figure with the correct picture of its net.

15. Cube 18. Triangular Prism 16. Square Pyramid 19. Triangular Pyramid 17. Pentagonal Prism 20. Cylinder

O. P. Q.

R. S. T.

IV. 3-Dimensional Views: (PART 1 OF SCAN TRON)

Using the figure of the cube above, answer the following questions:

1. Determine how many faces the figure has. 2. Determine how many edges the figure has. 3. Determine how many vertices the figure has.

Using the figure of the hexagonal pyramid above, answer the following questions:

4. Determine how many faces the figure has. 5. Determine how many edges the figure has. 6. Determine how many vertices the figure has.

A. 6 B. 7 C. 8 D. 12

Using the drawings above, determine which Figure answers the following questions best:

7. Which figure shows the front view?

8. Which figure shows the side (right) view? 9. Which figure shows the top view?

10. What is the least amount of blocks that it would take to build the figure above?

A. 11 B. 12 C. 13 D. 14

11. What is the least amount of blocks that it would take to build the figure above?

A. 10 B. 12 C. 16 D. 20

V. Surface Area:

When applicable, use π = 3.14.

12. What is the surface area of a cube with an edge of 5 centimeters?

A. 25 cm2 _{B. 125 cm}2 _{C. 150 cm}2 _{D. 200 cm}2

13. The surface area of a cube is 1,350 cm2_{. Find the length of an edge.}

14. A rectangular prism has a length of 40 inches, a width of 22 inches, and a height of 12 inches. Find the surface area of the prism.

A. 3,248 in2 B. 1,624 in2 C. 10,560 in2 D. 148 in2

15. Find the surface area of the rectangular prism below.

A. 2,556 cm2 _{B. 176 cm}2 _{C. 5,112 cm}2 _{D. 24,480 cm}2

16. Find the approximate surface area of a cylinder with a height of 19 mm and a base with a radius of 7 mm.

A. 1,142.96 mm2 B. 370.7 mm2 C. 2,923.34 mm2 D. 3,817 mm2

17.Find the surface area of the cylinder below.

A. 502.4 in2 _{B. 301.6 in}2 _{C. 2,010.6 in}2 _{D. 351.7 in}2

18.Find the surface area of the cylinder below.

19. A water storage shown in the picture below needs to be painted. You do not need to paint the bottom and the top is open. What is the approximate surface area (lateral area) that needs to be painted?

A. 4,092 ft2 B. 4,396 ft2 C. 3,768 ft2 D. 7,536 ft2

20.Find the approximate surface area of the cone below.

A. 191 ft2 _{B. 64 ft}2 _{C. 205 ft}2 _{D. 572 ft}2

21.Find the surface area of the triangular prism below.

A. 432 ft2 _{B. 405.6 ft}2 _{C. 484.8 ft}2 _{D. 357.6 ft}2

22.Find the surface area of the square pyramid below.

23.Find the approximate surface area of a sphere with a radius of 7 m.

A. 1,436.03 m2 B. 615.44 _m2 C. 43.96 _m2 D. 2,461.76 _m2

24.Find the approximate surface area of the sphere below.

A. 3,629.84 in2 _{B. 907.46 in}2 _{C. 20,569 in}2 _{D. 106.76 in}2

VI. Volume:

When applicable, use π = 3.14.

25. What is the volume of a cube with an edge of 8 centimeters?

A. 2 cm3 _{B. 24 cm}3 _{C. 384 cm}3 _{D. 512 cm}3

26. Which of the following are the dimensions of a rectangular prism with a volume of 360 cubic centimeters?

A. 10 cm x 10 cm x 36 cm B. 2 cm x 8 cm x 20 cm C. 5 cm x 6 cm x 12 cm

D. 120 cm x 120 cm x 120 cm

27. What is the volume of the rectangular prism below?

28. A picture of Ryan’s fish tank is shown below. Ryan fills his tank so that the surface of the water is 2 inches below the top edge of the tank. What is the volume of water in Ryan’s fish tank in cubic inches?

A. 4,320 in3 _{B. 3,600 in}3 _{C. 3,456 in}3 _{D. 2,720 in}3

29. A rectangular trunk has a volume of 26,880 cubic inches. The trunk is 4 feet long by 28 inches wide. How deep is the trunk?

A. 20 in B. 240 in C. 2,880 in D. 960 in

30. A store used cardboard boxes to ship merchandise. The dimensions of two of these boxes are given below. If the volume of Box B is twice the volume of Box A, what is the width of Box A?

Box A: l = 3 ft, w = ?, h = 2 ft Box B: l = 4 ft, w = 6 ft, h = 2 ft

A. 16 ft B. 5 ft C. 8 ft D. 4 ft

31. What is the approximate volume of the cylinder below?

A. 82.4 in3 _{B. 329.7 in}3 _{C. 70.7 in}3 _{D. 105.2 in}3

32. If the volume of a cylinder is 785 ft3 _{and its radius is 5 feet, approximately}

what is its height?

33.Find the approximate volume of the cone below.

A. 813.7 yd3 _{B. 2,307.9 yd}3 _{C. 329.9 yd}3 _{D. 769.3 yd}3

34. Find the approximate volume of a cone with diameter of 9 cm and height of 6 cm.

A. 508.68 cm3 _{B. 127.17 cm}3 _{C. 381.51 cm}3 _{D. 254.34 cm}3

35. Which figure has a volume greater than 400 cubic centimeters?

A. a cylinder with a radius of 6 cm and height of 4 cm B. a cylinder with a radius of 4 cm and height of 6 cm C. a cone with a radius of 6 cm and height of 6 cm

D. a cone with a radius of 4 cm and height of 4 cm

36.Find the volume of the triangular prism below.

A. 357.6 ft3 _{B. 405.6 ft}3 _{C. 484.8 ft}3 _{D. 432 ft}3

37.Find the volume of the square pyramid below.

38. A square pyramid has a volume of 130 cm3 _{and a base with edges}

measuring 5 centimeters, what is its height?

A. 15.6 cm B. 5.2 cm C. 26 cm D. 13 cm

39. Find the approximate volume of a sphere with a radius of 3 inches?

A. 904.32 in3 _{B. 452.16 in}3 _{C. 37.68 in}3 _{D. 113.04 in}3

40.Find the approximate volume of the sphere below.

A. 3,629.84 in3 B. 907.46 in3 C. 20,569 in3 D. 1,210 in3

41. A cube has a volume of 27 m3._{. What is the volume of a similar cube that is}

larger by a scale factor of 4 (dimensions are multiplied by 4)?

A. 1728 m3 _{B. 108 m}3 _{C. 432 m}3 _{D. 576 m}3

42. A cylinder has a height of 4 inches and a radius of 3 inches. If the height of this cylinder were doubled, how much greater would its volume be?

A. 113.04 in3 B. 150.72 in3 C. 226.08 in3 D. 452.16 in3

43. Find the volumes of the figures below and determine the ratio of the volume of the triangular prism to the volume of the triangular pyramid.

VII. Composite Shapes:

44. The box shown below is a candy container with a square base and a

pyramidal top. How many square inches of pasteboard are needed to make the box?

A. 64 in2 _{B. 112 in}2 _{C. 96 in}2 _{D. 128 in}2

Use the composite shape figure above to answer the following questions.

45.Find the surface area (not including the floor). 46.Find the volume.

BONUS (2 points for each answer):

1. Find the surface area of a cylinder with a height of 19 mm and a base with an area of 60 mm2_.

Answer: __________

2. Find the volume and surface area of a rectangular prism with a height of 7 inches, width of 3 inches and length of (x + 4) inches.

Surface Area: __________

Volume: __________

3. A rectangular piece of tin measures 36 inches by 25 inches. A square measuring 4 inches by 4 inches is cut out of each corner and the sides are folded to form a box. What is the volume of the box?

Answer: __________

4. The sink in Kevin’s workshop measures 6 in. x 15 in. x 16 in. Brent has a sink whose dimensions are twice Kevin’s. Find out about how many more gallons of water Brent’s sink will hold than Kevin’s sink.

(Hint: 1 gallon = 231 cubic inches)