Free Printable Unit 3 Review

Worksheets

Unit 3 Review

Total questions: 70

Worksheet time: 6hrs 34mins

Name

Class

Date

Which set of numbers does NOT describe the side lengths of a right triangle

3, 4, 5

5, 12, 13

6, 14, 17

7, 24, 25

Which number is NOT equal to $k^{2\ }=\ 36$

-6

$\sqrt{36}$

$-\sqrt{36}$

If the length of the hypotenuse of a right triangle is 11 units, and a leg 9 units, then what is the unit for the other leg?

$\sqrt{60}$ units

4 units

$\sqrt{40}$ units

$\sqrt{2}$ units

Peter leaves school to go home. He walks 11 meters North and then 60 meters West. How far is Peter from the school?

61 meters

8.4 meters

37.21 meters

58 meters

Bob takes a shortcut along the diagonal of a rectangular plot that is 32cm wide and 24cm long, instead of going along the sides. How much does that shorten his path?

40cm³

16cm³

21.2cm³

8cm³

_{^{Find the missing side}}

6.4

_{^{Find the missing side}}

108

83.6

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

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?

17 miles

32 miles

37 miles

40 miles

10.

9.2 in

11 in

13 in

9.6 in

11.

The Pythagorean Theorem is
a² + b³= c⁴

false

true

12.

Side a on a right triangle is ALWAYS the longest side.

true

false

13.

What is the opposite of squaring a number?

divide

multiply

fractions

square root

14.

The top of the ladder is 8.9 ft from the ground

The top of the ladder is 9.2 ft from the ground

The top of the ladder is 16.5 ft from the ground

The top o the ladder is 14.4 ft from the ground

15.

Sides a and b are called legs.

true

false

16.

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

17.

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

18.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

9ft

11ft

6ft

14ft

19.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

True

False

20.

c= 97, b= 72, a=?

21.

c= 97, b= 72, a=?

22.

Sadie used a container shaped like a cylinder to catch rainwater. The dimensions of the container are shown below. Which measurement is closest to the volume?

1,527cm³

4,072cm³

1,018cm³

3,054cm³

23.

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

128.6 units³

1,286.1 units³

401.9 units³

5,144.6 units³

24.

Find the volume of this shape

1520.53

276.46

552.93

6082.12

25.

Find the volume of a cylinder with diameter of 10ft and height of 18.5ft

1452.98ft³

5811.94ft³

185ft³

581.19ft³

26.

Nicholas has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold?

5596.07 in³

593.76 in³

1696.46 in³

94.5 in³

27.

Find the volume of the cylinder.

4239

1696

1130

565

28.

Is the red line a radius or diameter of the circle?

Radius

Diameter

29.

What is the formula for volume of a CYLINDER?

V = π r²

V = π r² h

V = ⅓ π r² h

V = ⅓ L W H

30.

V = ?

1,077.02 yd³

269.255 yd³

153.86 yd³

31.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

5572.45 cm³

506.59 cm³

126.65 cm³

1393.11 cm³

32.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

179.50 cm³

205.15 cm³

51.29 cm³

1436.03 cm³

33.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

12.56 ft³

37.68 ft³

18.84 ft³

6.28 ft³

34.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

523 in³

16,717 in³

5,575 in³

7,235 in³

35.

What is another word to describe volume?

Area

surface area

capacity

4th dimension

36.

Find the volume to the nearest whole number using 3.14 instead of Pi.

151 ft³

152 ft³

150 ft³

150.72 ft³

37.

V = ?

150.72 mm³

904.32 mm³

2,712.96 mm³

38.

V = ?

14.13 in³

56.52 in³

169.56 in³

39.

What is the formula for Volume of a Cone?

V=π r³h

V=π r²h

V=(1/3)π r²h

V=(4/3)π r³

40.

Find the volume of the figure.

150.72 cm³

75.36 cm³

452.16 cm³

151 cm³

41.

Find the volume of the cone. (Round to the nearest integer.)

1810 in³

151 in³

452 in³

276 in

42.

400

1200

3600

324

43.

v = ?

2,144.66 m³

1,608.49 m³

536.17 m³

498.62 m³

44.

find the volume. Round to the nearest hundredth.

1526.82mi

1326cm³

6104.16mi³

1026.04mi³

45.

Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

46.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 4 in
height = 14 in

234.5 in³

175.8 in³

23.5 in³

17.6 in³

47.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 3 mm
height = 9 mm

254.3 mm³

84.8 mm³

25.4 mm³

8.5 mm³

48.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
radius = 6 in
height = 15 in

1695.6 in³

169.6 in³

56.5 in³

565.2 in³

49.

Find the volume of the cone. Use 3.14 for π. Round decimal answers to the nearest tenth.
diameter = 12 cm
height = 8 cm

3617.3 cm³

361.7 cm³

301.4 cm³

30.1 cm³

50.

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

561.5 in³

267.9 in³

201 in³

803.8 in³

51.

The formula for the Volume of ...

Spheres

Cones

Cylinders

52.

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

345.8

523.6

1436

205.1

53.

Find the Volume of the Sphere

904.32 ft³

7,234.56 ft³

150.72 ft³

54.

Find the volume of this sphere.

113 m³

10.6 m³

9.4 m³

14.1 m³

55.

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.

345.3 in³

33.5 in³

25.1 in³

50.2 in³

56.

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

345.8

523.6

1436

205.1

57.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

V = π(9)

V = π(4.5)²(32)

V = π(9)²(32)

V = π(4.5)(32)

58.

The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?

4,188.8

1,333.3

2,364.3

5,000.3

59.

What is volume?

The amount of space of a 2-D object

The amount of space in a 3-D object

Water

Area

60.

Find the distance between J and K.

8.2

7.7

10.2

61.

What is the distance between the two points?

6.3

6.5

6.7

62.

Heidi helped build a slide at a local park. The ladder is 6 feet high, and the slide is 7 feet long. Approximately how far is the bottom of the ladder from the bottom of the slide?

3.6 feet

9.2 feet

13 feet

6.5 feet

63.

Find the distance between the points.

64.

Find the distance between the points.

√29

√65

65.

Find the distance between "Home" and the "Library".

√18

√41

66.

Which value of x will show that lines l and m are parallel?

67.

Name the angle relationship.

Alternate Interior

Alternate Exterior

Corresponding

Vertical Angles

68.

56¹= ?

69.

Anything raised to a power of zero is always:

itself

negative

70.

Is the red line a radius or diameter of the circle?

Radius

Diameter

Reset

Unit 3 Review

Total questions: 70

Worksheet time: 6hrs 34mins

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