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Geometry Topic 11 Review

Total questions: 37

Worksheet time: 2hrs 23mins

Name
Class
Date
1.

What is the volume of this triangular prism?

a)

576 cm3

b)

288 cm3

c)

333 cm3

d)

336 cm3

2.
A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth. 
a)
471.24
b)
565.49
c)
188.5
d)
157.08
3.
A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?
a)
1
b)
2
c)
3
d)
4
4.
A 9 cm wide cross section pipe has a height of 13 cm. Calculate the volume of the pipe. 
a)
827.02 cm3
b)
367.57 cm3
c)
2389.18 cm3
d)
3308.1 cm3
5.

Find the Surface Area

a)

15m2

b)

16m2

c)

18m2

d)

20m2

6.

Find the volume of the figure.

a)

126 cm3

b)

907.5 cm3

c)

605 cm3

d)

55 cm3

7.

What is the surface area?

a)

2714.34 mm2

b)

452.39 mm2

c)

904.78 mm2

d)

108.8 mm2

8.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
9.

Find the surface area of the hemisphere

a)

904.3 cm2

b)

339.3cm2

c)

226.2 cm2

d)

452.4 cm2

10.

Find the volume. Round to the nearest tenth.

a)

16755.2 ft3

b)

2094.4 ft3

c)

18849.6 ft3

d)

20944 ft3

11.

Euler's Formula is

a)

F+ V - E = 2

b)

F + E - V = 2

c)

E - V - F = 2

d)

F + V + F = 2

12.
 A polyhedron has 25 faces and 36 edges. How many vertices does it have?
a)
11
b)
12
c)
13
d)
14
13.

Given a polyhedron with 8 vertices and 18 edges, how many faces does it have?

a)

26

b)

24

c)

12

d)

10

14.

A plane intersects the prism perpendicular to the base, intersecting opposite sides of the base. Which best describes the cross section?

a)

trapezoid

b)

hexagon

c)

rectangle

d)

triangle

15.

What is the radius of a hemisphere with a volume

of 31,104π cm³?

a)

25 cm

b)

27 cm

c)

29 cm

d)

36 cm

16.

A plane intersects the center of a sphere with volume of about 5,575.3 m³. What is the area of the cross section?

a)

about 380 cm2

b)

about 444 cm2

c)

about 4181 cm2

d)

about 2788 cm2

17.

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm³ of air to the nearest tenth of a centimeter?

a)

19.6 cm

b)

9.8 cm

c)

4.9 cm

d)

2.5 cm

18.

A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm³, what is the mass of the pipe to the nearest gram?

a)

30 g

b)

39 g

c)

233 g

d)

296 g

19.

The volume of prism A is 72 cubic units, and the volume of prism A is twice the volume of prism B.

What is the value of a?

a)

24

b)

12

c)

6

d)

3

20.

A stack of one dozen cookies of diameter 2.5 in exactly fits in a cylindrical container of volume 14.726 in³. Which is the thickness of each cookie?

a)

0.25 in.

b)

0.5 in.

c)

1 in.

d)

2 in.

21.

The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in³. What is the height of the pyramid?

a)

6 in

b)

8 in

c)

12 in

d)

24 in

22.

Which best compares the volumes of cone A and cone B?

a)

The volume of B is twice the volume of A

b)

The volume of A is twice the volume of B

c)

The volume of B is 4 times the volume of A

d)

The volumes of A and B are equal

23.

A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 9 cubic yards?

a)

11 trips

b)

12 trips

c)

15 trips

d)

26 trips

24.

A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 12 in. long. How many cubic inches of packing foam are needed to fill the rest of the box? Round to the nearest tenth.

a)

1585.1 cubic inches

b)

1444.5 cubic inches

c)

1863.4 cubic inches

d)

1279.1 cubic inches

25.

The volume of the region between the two cylinders is 336π cm³. Find the height.

a)

1.75 cm

b)

7 cm

c)

14 cm

d)

22 cm

26.
a)
Volume of Spheres
b)
Volume of Cones
c)
Surface area of spheres
d)
surface area of cones
27.
What is this formula?
a)
suface area of a cone
b)
surface area of a sphere
c)
volume of a cone
d)
volume of a sphere
28.

Find the surface area in terms of pi.

a)

200π cm2200\pi\ cm^2

b)

220π cm2220\pi\ cm^2

c)

236π cm2236\pi\ cm^2

d)

204π cm2204\pi\ cm^2

29.

Volume = 195.3 cm3. WTFSS!

c = ____________

a)

3.1 cm

b)

6.2 cm

c)

9.3 cm

d)

12.4 cm

30.

 Volume=2560π cm3Volume=2560\pi\ cm^3  

                                          
 r = ___________

a)

9.2 cm

b)

16 cm

c)

9.0 cm

d)

15 cm

31.

The volume of a sphere is 4500π cm3. Find the surface area of the sphere.

a)

1000π cm2

b)

13500π cm2

c)

900π cm2

d)

1321π cm2

32.

Find the surface area.

a)

128 cm2

b)

208 cm2

c)

384 cm2

d)

624 cm2

33.

Find the surface area of the triangular prism.

a)

356 in2

b)

348 in2

c)

336 in2

d)

340 in2

34.
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.  How many cubic inches of soda are contained in a full can?
a)
12.0
b)
24.0
c)
75.4
d)
18.8
35.
A cylindrical tank has a volume of 628 inches cubed.  The height of the tank is 8 inches.  What is the area of the base?
a)
78.5 in2
b)
785.5 in2
c)
9.8125 in2
d)
70.5 in2
36.

Find the volume of the figure. Round to the nearest tenth.

a)

46.8 yd3

b)

280.8 yd3

c)

177.8 yd3

d)

842.4 yd3

37.

Find the surface area of the figure. Round to the whole number.

a)

308 mi2

b)

297 mi2

c)

219 mi2

d)

225 mi2