Free Printable Unit 3 Review

1.

What is the volume of a cylinder whose height is 6 inches and radius is 3 inches in terms of pi?

a)

54π cubic inches

b)

18π cubic inches

c)

27π cubic inches

d)

36π cubic inches

2.

The volume of a triangular prism is 54 m3. If the width is 4m and the height is 9m, what is the length of the prism?

a)

8m

b)

10m

c)

12m

d)

3m

3.

Find the volume of a cone in terms of pi whose radius is 3 inches and height is 5 inches.

a)

8pi cubic inches

b)

15pi cubic inches

c)

10pi cubic inches

d)

20pi cubic inches

4.

Find the height of a rectangular prism with a volume of 2576, width of 8 and length of 14.

a)

17

b)

23

c)

30

d)

12

5.

Find the volume of a rectangular pyramid whose length is 9, width is 8 and height is 11.

a)

99

b)

264

c)

792

d)

432

6.

A rectangular-based pyramid has a base area of 8 and a height of 6. Find the volume of the rectangular-based pyramid.

a)

16

b)

10

c)

12

d)

24

7.

Find the height of a cone with a volume of $84\pi$

ft cubed and a radius of 6 ft.

a)

7 ft

b)

18 ft

c)

16 ft

d)

12 ft

8.

Find the volume of a sphere whose radius is 4 inches rounded to 2 decimal places.

a)

134.04 cubic inches

b)

392.48 cubic inches

c)

56.52 cubic inches

d)

268.08 cubic inches

9.

The volume of a cube is 4319 m3. What is the length of a side of the cube?

a)

17

b)

12

c)

23

d)

30

10.

Find the volume of a triangular pyramid whose length is 6, width is 8 and height is 9.

a)

63

b)

72

c)

54

d)

48

11.

What is the density of carbon dioxide gas if 0.834 grams occupies a volume of 100 mL?

a)

The density of carbon dioxide gas is 0.834 g/L.

b)

The density of carbon dioxide gas is 100 g/L.

c)

The density of carbon dioxide gas is 0.00834 g/L.

d)

The density of carbon dioxide gas is 8.34 g/L.

12.

Which function does not have the set of all real numbers as its domain?

a)

$\cos\left(7x\right)$

b)

$x^4+3x-15$

c)

$\frac{\left(x+2\right)}{x-9}$

d)

$4^x-3$

13.

An isosceles right triangle whose legs measure 3 is continuously rotated about one of its legs to form a three-dimensional object. What is the volume of the 3-d shape?

a)

6π cubic units

b)

12π cubic units

c)

15π cubic units

d)

9π cubic units

14.

An square whose sides measure 5 is continuously rotated about one of its sides to form a three-dimensional object. What is the volume of the 3-d shape?

a)

125π

b)

5π

c)

20π

d)

25π

15.

The density of a metal is 34.6 g/cm3. A weight of 1 ounce is equivalent to a mass of 25.8 g. What is the side length of a cube-shaped block of the metal that a has a weight of 7 ounces?

a)

7.62

b)

2.45

c)

1.73

d)

5.22

16.

A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.

a)

2778.37

b)

5832

c)

2948.22

d)

3294.98

17.

What is the volume of a spherical watermelon that has a mass of 25g and a density of .95 g/cm3?

a)

30.12 cm^3

b)

26.32 cm^3

c)

27.89 cm^3

d)

24.75 cm^3

18.

There are 5,684 stray cats living in Dubrovnik, Croatia - the cat capital of the world. Dubrovnik has a land area of 55 square miles. What is the population density of cats in the city?

a)

103.35 cats per square mile

b)

55.5 cats per square mile

c)

10.5 cats per square mile

d)

200.5 cats per square mile

19.

Solve for x.

a)

5

b)

70

c)

35

d)

55

20.

Solve for y, assuming x is 35.

a)

30

b)

25

c)

10

d)

35

21.

Find the volume of the shape in terms of pi. (Note that a hemisphere is half of a sphere...)

a)

917.3pi

b)

234.67pi

c)

482.9pi

d)

182.2pi

22.

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

a)

2186.3

b)

3600

c)

5013.7

d)

4329.5

23.

If $m\angle4$ =40, then what is $m\angle1$ ?

a)

40

b)

60

c)

140

d)

50

24.

If $m\angle3$ = 60, then what is $m\angle2$ ?

a)

40

b)

60

c)

140

d)

50

25.

In the quadrilateral WXYZ, WY = 3x-1 and XZ = 2x+3. What value of x would make WXYZ a rectangle?

a)

2

b)

4

c)

1

d)

3

26.

A Pepsi factory is filing up cans of soda. They want each can to weigh 12 oz, and if the weight varies by more than .3 oz, they discard the can. Write an inequality that represents the situation.

a)

$\left|x+.3\right|\ge12$

b)

$\left|x-.3\right|\le12$

c)

$\left|x-12\right|\ge.3$

d)

$\left|x-12\right|\le.3$

27.

Which one of the equations matches the graph below?

a)

$\left|x-3\right|+2$

b)

$\left|x-2\right|+3$

c)

$\left|x+2\right|-3$

d)

$\left|x+3\right|+2$

Unit 3 Review

Total questions: 27

Worksheet time: 14mins

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