Free Printable Unit 5 Work Day Geo AC

Worksheets

Unit 5 Work Day Geo AC

Total questions: 30

Worksheet time: 5hrs 0mins

Name

Class

Date

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

A cylinder is cut parallel to the base. What is the shape of the cross-section formed?

Circle

Rectangle

Triangle

Trapezoid

A cone is cut by a plane that is perpendicular to its base. Which of the following could be the shape of the cross-section formed?

Circle

Triangle

Rectangle

Trapezoid

A right hexagonal prism is shown below. A two-dimensional cross section that is perpendicular to the base is taken from the prism.

Which figure describes the two-dimensional cross section?

triangle

rectangle

pentagon

hexagon

The cross-section of a 3D figure is shaped like a circle. Which could NOT have been the 3D figure?

Sphere

Pyramid

Cylinder

Cone

Based on Cavalieri's Principle, will the two prisms have the same volume?

No, they will not be same. Although the heights are the same, the cross-sections are different shapes.

Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.

Find the volume.

151.2

163.7

179.1

186.3

Find the volume.

1112.3

1343.4

1423.2

1500.6

10.

Find the volume of this shape. Leave in terms of pi.

484π $cm^3$

88π $cm^3$

176π cm³

1937π cm³

11.

Which equation can be used to find the volume of this figure?

Vol = (8 x 7) (13)

Vol = (8 x 13) ( 7)

Vol = (1/2 x 8 x 13) (7)

Vol = (1/2 x 8 x 7) (13)

12.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

64 yd³

80 yd³

192 yd³

128 yd³

13.

A party hat has a volume of $75\pi$ cubic inches. If the radius is 5 inches, then what is the height of the party hat?

3 in

15 in

6 in

9 in

14.

The volume of a CONE is $480\pi\ cm^3$ .

The height of the cone is 10cm. What is the radius?

DO NOT type units or spaces

(a)

15.

900

100

300

348

16.

Find the area of the base of a Triangular Pyramid if the volume is 20 ft³ and the height is 5 ft. DO NOT type units or spaces.

(a)

17.

A cone with a height of 21 cm has a volume of 175π cm³. What is its diameter? Do NOT use 3.14 for π. DO NOT type units or spaces

(a)

18.

Find the radius of a cone that has a volume of 378π in³ and a height of 14 in. Do NOT use 3.14 for π

(a)

19.

A tent shaped like a triangular prism has a volume of 480 ft³. The triangle that makes it up has a 6ft base and an 8ft height. What is the length of the tent? DO NOT type units or spaces

(a)

20.

Volume = 1620 cm³Solve for X

(a)

21.

Volume = 120 m³ Solve for X. DO NOT type units or spaces

(a)

22.

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

2/3

64/729

512/19683

8/27

23.

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

125

24.

The surface area of the larger prism is 2560 m². Find the surface area of the smaller prism.

921.6 m²

1536 m²

553 m²

7111.1 m²

25.

Find the surface area of the larger solid given the information below.
V = 8m³
V = 27m³
SA = 36 m²
SA = ?

54 m²

81 m²

55 m²

76 m²

26.

Find the volume of the larger solid given the information below.
V = 125 m³
V = ? m³
SA = 200 m²
SA = 288 m²

150

180

200

216

27.

Find the volume of the larger solid given the information below.
V = 125 m³
V = ? m³
SA = 200 m²
SA = 288 m²

150

180

200

216

28.

The volume of the solid is...

217.1

2171

118.6

72.4

29.

The volume of the solid is...

40,920

81,840

52,803

13,640

30.

The volume of the solid is ...

392.7

1,178.1

130.9

515.7

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Unit 5 Work Day Geo AC

Total questions: 30

Worksheet time: 5hrs 0mins

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