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Unit 8 Test Review: 2D 3D Figures

Total questions: 57

Worksheet time: 5hrs 35mins

Name
Class
Date
1.

Find the surface area of the prism.

a)

SA = 348 in2

b)

SA = 372 in2

c)

SA = 384 in2

d)

SA = 305 in2

2.

Find the surface area of the prism.

a)

SA = 696 m2

b)

SA = 672 m2

c)

SA = 702 m2

d)

SA = 584 m2

3.

Find the surface area of the prism.

a)

SA = 384 cm2

b)

SA = 346 cm2

c)

SA = 350 cm2

d)

SA = 362 cm2

4.

Find the surface area of the regular pyramid.

a)

SA = 39 m2

b)

SA = 27 m2

c)

SA = 29 m2

d)

SA = 33 m2

5.

Find the surface area of the cylinder. Round your answer to the nearest tenth.

a)

SA = 552.6 mm2

b)

SA = 534.8 mm2

c)

SA = 566.4 mm2

d)

SA = 600 mm2

6.

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

a)

LA = 70 yd2

b)

LA = 64.5 yd2

c)

LA = 50.3 yd2

d)

LA = 56.5 yd2

7.

Find the volume of the prism.

a)

V = 1,405 in3

b)

V = 1,135 in3

c)

V = 1,120 in3

d)

V = 1,224 in3

8.

Find the volume of the prism.

a)

V = 105 m3

b)

V = 135 m3

c)

V = 115 m3

d)

V = 155 m3

9.

Find the volume of the prism.

a)

V = 300 m3

b)

V = 270 m3

c)

V = 285 m3

d)

V = 295 m3

10.

Find the volume of the pyramid.

a)

V = 145 ft3

b)

V = 200 ft3

c)

V = 180 ft3

d)

V = 120 ft3

11.

Find the volume of the pyramid.

a)

V = 152 ft3

b)

V = 134 ft3

c)

V = 166 ft3

d)

V = 140 ft3

12.

A deep dish pizza has a radius of 6 inches and a height of 1 inch. Find the surface area of the pizza. Round your answer to the nearest tenth

a)

The surface area of the pizza is 242.8 in2

b)

The surface area of the pizza is 263.8 in2

c)

The surface area of the pizza is 278.3 in2

d)

The surface area of the pizza is 250.4 in2

13.

Find the surface area of the sphere.

a)

48π mm2

b)

144π mm2

c)

72π mm2

d)

134π mm2

14.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in2

b)

56.5 in2

c)

188.5 in2

d)

245.0 in2

15.

Calculate the surface area of the given prism.

a)

316 cm2

b)

352 cm2

c)

440 cm2

d)

292 cm2

16.
Find the ratio (red to blue) of the perimeter.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
17.

Find the ratio (red to blue) of the area.

a)
11/6
b)
6/11
c)
121/36
d)
36/121
18.

Find the ratio (blue to red) of the area.

a)
4/7
b)
7/4
c)
49/16
d)
16/49
19.

What is the scale factor of the side lengths (Ratio of the lengths) of the large pyramid to the small pyramid? 

a)

3/1

b)

3240/120

c)

27/1

d)

1/3

20.
The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?
a)
1:6
b)
1:8
c)
1:2
d)
1:4
21.
Find the ratio of the volumes from larger to smaller. HINT: Find the ratio of the side lengths first.
a)
5/4
b)
125/64
c)
25/16
d)
10/8
22.

Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure on the right.

a)

1 : 63

b)

7 : 9

c)

49 : 81

d)

343 : 729

23.
The surface area of the larger prism is 2560 m2.  Find the surface area of the smaller prism.
a)
921.6 m2
b)
1536 m2
c)
553 m2
d)
7111.1 m2
24.

Find the Lateral Surface Area of a Rectangular Prism.

a)

640

b)

320

c)

208

d)

346

25.
2) What does B stand for?
a)
Perimeter
b)
Perimeter of the Base
c)
Area
d)
Area of the Base
26.
What does "P" stand for in the surface area formulas?
a)
Perimeter
b)
Parallel
c)
Perimeter of the Base
d)
Pi
27.

What is the difference between lateral area and total surface area?

a)

Total surface area includes 1 base instead of 2 bases like lateral does

b)

Lateral includes all the faces while total only includes the bases

c)

Total surface area includes the base(s) and all the faces while lateral does not include the base(s)

d)

Lateral just includes B, the area of the base while total does not

28.
What shape does this net create?
a)
Rectangular Prism
b)
Cube 
c)
Cylinder
d)
Rectangle
29.

What is the lateral area of the prism?

a)

299 units2

b)

21 units2

c)

320 units2

d)

784.9 units2

30.

What is the slant height of the triangular pyramid?

a)

12 feet

b)

6 feet

c)

5.2 feet

31.

What is the lateral area of this shape (it has a regular base)?

a)

150 ft2

b)

360 ft2

c)

225 ft2

d)

250 ft2

32.

What 3-D shape will this form?

a)

Cube

b)

Triangular Prism

c)

Rectangular Prism

d)

Triangle

33.

What 3-D shape does this form?

a)

Pyramid

b)

Triangular Prism

c)

Cube

d)

Triangle

34.

Find the length of the bold arc.Leave pi in your answer.

a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
35.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)
A
b)
B
c)
C
d)
D
36.

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
37.

Find the area of the sector.

a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
38.

What is the area of the shaded sector?

a)
339.12 in2
b)
113.04 in2
c)
339.29 in2
d)
None of the above
39.

What is the Perimeter of the Rectangle on the Inside?

a)

150 m

b)

62 m

c)

23 m

d)

70 m

40.

Find the area.

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

41.

What is the area of this parallelogram?

a)

38 m2

b)

56 m2

c)

77 m2

d)

88 m2

42.

What is the area of this trapezoid?

a)

48 m2

b)

68 m2

c)

88 m2

d)

136 m2

43.
 What is the area of the shaded region?
a)
19.8 cm2
b)
25.16 cm2
c)
32.6 cm2
d)
14.96 cm2
44.
What is the total volume of this figure?
a)
60
b)
100
c)
120
d)
300
45.

What is the volume of both shapes?

a)

150 cm3

b)

65 cm3

c)

300 cm3

d)

225 cm3

46.
Find the volume.
a)
151.2
b)
163.7
c)
179.1
d)
186.3
47.
Find the volume.
a)
1112.3
b)
1343.4
c)
1423.2
d)
1500.6
48.
Find the volume of the empty space left inside the cylinder.
a)
261.8
b)
246.3
c)
321.4
d)
1245.5
49.
Find the volume of the roll of duct tape.
a)
7.2
b)
9.5
c)
15.3
d)
21.6
50.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

51.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

52.

? = (a)   degrees

53.

? = (a)   degrees

54.

? = (a)   degrees

55.

? = (a)   degrees

56.

? = (a)   degrees

57.

x = (a)