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WorksheetsGMAS Unit 3 Review
Total questions: 50
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
The formula V=(1/3)∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
2.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
3.
Nicolas places his 30 foot ladder against a house he is painting. If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house? Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
4.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
5.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
6.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
7.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
8.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
9.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
10.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
11.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
12.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
13.
Find the length of the missing side
a)
48
b)
108
c)
83.6
d)
72
14.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
15.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
16.
A square has a side length of 3 inches. What is the length of the diagonal distance across the square?
a)
6 inches
b)
4.2 inches
c)
9 inches
d)
3 inches
17.
Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?
a)
46.9 inches
b)
8.1 inches
c)
19.9 inches
d)
32.9 inches
18.
A telephone pole is 14 feet tall and 8 feet away from a house. If the telephone line stretches from the top of the pole to the bottom of the house, how long is the line?
a)
16.1 feet
b)
4.7 feet
c)
11.5 feet
d)
132 feet
19.
The area of a square is 144. What is the length of its diagonal?
a)
12
b)
16.97
c)
8.49
d)
72
20.
Find the value of x. Round all answers to the nearest tenth.
a)
3.2
b)
3.4
c)
4.2
d)
2.2
21.
if a = 3 in., b = 12 in., and c = 4 in., what is the length of d rounded to the nearest hundredth of a foot?
a)
12.65 in.
b)
5 in.
c)
13 in.
d)
12 in.
22.
A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x?
a)
31.3
b)
32.3
c)
33.3
d)
64
23.
Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?
a)
352 feet
b)
31.6 feet
c)
44 feet
d)
6.6 feet
24.
if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
25.
if a = 3 in., b = 12 in., and c = 4 in., what is the length of d rounded to the nearest hundredth of a foot?
a)
12.65 in.
b)
5 in.
c)
13 in.
d)
12 in.
26.
The measurements for a rectangular box are L = 143 cm, W = 24 cm and H = 22 cm. Harry would like to ship his wand in this box. His wand is 146 cm long. Can he fit his wand in this box?
a)
Yes
b)
No
27.
Find the distance form P to S.
a)
6,400 meters
b)
51,400 meters
c)
226.7 meters
d)
80 meters
28.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
29.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
30.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
31.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
32.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
33.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
34.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
35.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
36.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
a)
50.24 ft3
b)
150.72 ft3
c)
not here
d)
192.65 ft3
37.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
38.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
39.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
40.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
41.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
42.
A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?
a)
8 inches
b)
4 inches
c)
12 inches
d)
16 inches
43.
A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?
a)
4 units
b)
2 units
c)
3 units
d)
5 units
44.
The volume of a cylinder is approximately 942 cubic inches. The height of the cylinder is 12 inches. Which is the best approximation for the radius of the cylinder?
a)
4 inches
b)
5 inches
c)
6 inches
d)
7 inches
45.
A cylinder and a cone have congruent bases and heights. What will be the relationship of the volumes of the two figures?
a)
The volume of the cylinder will be twice the volume of the cone.
b)
The volume of the cone will be one-fourth the volume of the cylinder.
c)
The volume of the cylinder will be 4/3 the volume of the cone.
d)
The volume of the cylinder will be three times the volume of the cone.
46.
V = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
47.
What is the difference between a cone and a cylinder
a)
They are the same
b)
A cylinder is a third smaller than a cone
c)
The formulas are identical
d)
A cone is a third smaller than a cylinder
48.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8 cm3
b)
1,333.3 cm3
c)
2,364.3 cm3
d)
5,000.3 cm3
49.
Ice cream is served on a cone with a height of 7 cm and a diameter is 6 cm . What is the RADIUS of the cone?
a)
333 cm
b)
3 cm
c)
323 cm
d)
423 cm
50.
V = ?
a)
1,077.02 yd3
b)
269.255 yd3
c)
153.86 yd3
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