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Volume, Arcs, Sectors, Angles + Polyhedrons CH 12

Total questions: 50

Worksheet time: 4hrs 43mins

Name
Class
Date
1.

If the radius of a cylinder is 4cm and height is 10cm, then total surface area of cylinder is:

a)

440 sq.cm

b)

352 sq.cm.

c)

400 sq.cm

d)

412 sq.cm

2.

If the radius of a sphere is doubled, then it volume will become how many times of its original volume

a)

two

b)

three

c)

six

d)

eight

3.

If the radius of a sphere is 2k, then its volume will be _____

a)

4πk23\frac{4\pi k^2}{3}  

b)

4πk34\pi k^3  

c)

8πk33\frac{8\pi k^3}{3}  

d)

32πk33\frac{32\pi k^3}{3}  

4.

The length, width and height of the wooden box are 12.3 inches, 6.4 inches and 7.5 inches respectively. What is the volume of the wooden box?

a)

437.94 in2

b)

590.4 in3

c)

184.50 in2

d)

96.00 in3

5.
How many faces does this shape have?
a)
6
b)
3
c)
8
d)
4
6.

Find the volume. Round to nearest hundredth

a)

340.34 ft^3

b)

450.13 ft^3

c)

130.18 ft^3

d)

440.17 ft^3

7.

Find the volume. Round to nearest tenth

a)

533.9 cm^3

b)

706.9 cm^3

c)

732.1 cm^3

d)

666.8 cm^3

8.

Find the volume. Round to nearest tenth

a)

654.1 in^3

b)

735.6 in^3

c)

773.0 in^3

d)

811.3 in^3

9.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
10.
What is the perimeter of the rectangle below?
a)
122 in
b)
2,697 in
c)
244 in
d)
344 in
11.
Choose the correct formula to find the area of any rectangle or square.
a)
Add all sides
b)
base times height divided by two
c)
length times width
d)
add all sides and divide by two
12.

Which is the formula for volume of a rectangular prism?

a)

Base x Height

b)

Length x Width

c)

Length x Width x Height

d)

Surface Area x Height

13.

The volume of a cube is 4913 in3, what is the length of each side of the cube in inches

a)

20

b)

26

c)

17

d)

27

14.

A polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex is a...

a)

prism

b)

cone

c)

pyramid

d)

dodecahedron

15.

Find the surface area of a globe with a 24-inch diameter.

a)

1809.56 in2

b)

7234.56 in2

c)

904.32 in2

d)

3627.28 in2

16.

How many edges does the figure have?

a)

6

b)

8

c)

10

d)

12

e)

14

17.

Find the volume of the solid (in cubic meters).

a)

780 m3

b)

840 m3

c)

570 m3

d)

960 m3

18.

In a right circular cone, the cross section made by a plane parallel to the base is a...........

a)

Sphere

b)

Hemisphere

c)

Circle

d)

Semicircle

19.
What shape will the angled cross-section of a rectangular pyramid be?
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
20.
Exact volume =
a)
9π in3
b)
90π in3
c)
282.743π in3
d)
30π in3
21.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
22.
what is the volume?
a)

15yd315yd^3  

b)

32yd332yd^3  

c)

222yd3222yd^3  

d)

16yd316yd^3  

23.
V = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
24.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
c)

Equal

d)

Not enough information

25.
Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 
a)
4:7
b)
16:49
c)
64:343
d)
12:21
26.
What shape is this?
a)
Cube
b)
Cylinder
c)
Pyramid
d)
Cuboid
27.
What shape is this?
a)
Cube
b)
Cylinder
c)
Pyramid
d)
Cuboid
28.
What shape is this?
a)
Cube
b)
Cylinder
c)
Pyramid
d)
Cuboid
29.
What is the formula for the sum of interior angles in a polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
30.
What is the sum of interior angles for a 27-gon?
a)
4860
b)
4500
c)
3700
d)
2700
31.

Find the angle sum of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

32.
Find the value of x.
a)
138
b)
540
c)
64
d)
128
33.

Find x

a)

150

b)

265

c)

1080

d)

105

34.

solve for y

a)

360

b)

165

c)

125

d)

190

35.

What is the name of this 3D solid?

a)

triangular pyramid

b)

rectangular pyramid

c)

rectangular prism

d)

triangular prism

36.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
37.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
38.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
39.

What solid is formed when the triangle is rotated 360 degrees around the y-axis?

a)

Cylinder

b)

Cone

c)

Prism

d)

Pyramid

40.

What is the best name for the solid formed from this net?

a)

Triangular Pyramid

b)

Rectangular Prism

c)

Hexagonal Pyramid

d)

Hexagonal Prism

41.

Select ALL of the 2D objects that when rotated will create the 3D object.

a)
b)
c)
d)
42.

Find the measure of the interior angles of a 12 sided convex polygon.

(a)  

43.

If each exterior angle of a regular polygon measures 14.4 degrees, how many sides does it have?

(a)  

44.

Two similar hexagon pyramids have a scale factor of 2 to 5. If the volume of the larger pyramid is 1500 m³ then what is the volume of the smaller pyramid? (do not include the units in your answer.) round to the nearest whole number.

(a)  

45.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

9.2 units

b)

8.8 units

c)

8.4 units

d)

8.1 units

46.
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.
47.

What is the ϴ called?

a)

sector

b)

arc length

c)

arc measure

d)

central angle

48.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
49.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

a)

161.97 mm2

b)

155.37 mm2

c)

148.13 mm2

d)

142.74 mm2

50.

If a cylinder and a cone have the same radius and height, then how many times larger is the cylinder than the cone?

(a)  

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