Free Printable Quarter 3, CW #6

1.

Choose the geometric solids to model each object?

a)

1.

cylinder

b)

2.

triangular prism

c)

3.

cylinder & spheres

d)

4.

cylinder & cone

e)

5.

octagonal prism

2.

What is the shape?

a)

cone

b)

cylinder

c)

sphere

d)

prism

e)

pyramid

3.

What is the diameter?

a)

6

b)

3

c)

12

4.

What is the radius?

a)

6

b)

3

c)

12

5.

What is the height of the cone?

a)

6

b)

3

c)

12

6.

What is the volume formula of a cone?

a)

SA = B + πrl

b)

LA = πrl

c)

V = 1/3 B h

d)

V = BH

7.

What is the B (area of the base) formula for this cone?

hint...it is a circle base

a)

B = πr²

b)

B = 2πr

c)

B = bh

d)

B = 1/2bh

8.

Find the volume of the cone.

Round your answers to the nearest tenth.

Use 3.14 for π.

9.

What is the formula for volume of a cube and what is the volume?

a)

V = Bh

V = (bh)h

V = (3)(3)(3)

V = 27 cm³

b)

V = Bh

V = (3)(3)

V = 9 cm³

c)

V = Bh

V = (1/2bh)h

V = 1/2(3)(3)(3)

V = 13.5 cm³

10.

What is the formula for density?

a)

D = m/V

b)

D = V/m

c)

D = Bh

11.

If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm? Match the correct variables.

a)

Density

1.

mass/volume

b)

mass

2.

objects = # of butterflies

c)

volume

3.

27 cm³

12.

If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm? hint...this last part of the question tells you what to divide

a)

$3.7\ \frac{butterflies}{cm^3}$

b)

$2700\frac{butterflies}{cm^3}$

c)

$11.1\ \frac{butterflies}{cm^3}$

d)

$0.27\frac{butterflies}{cm^3}$

13.

Label each part of the figure.

a)lateral face

b)BASE

c)vertex

d)height

e)slant height

f)edge

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

14.

What is this shape?

a)

prism

b)

cylinder

c)

cone

d)

pyramid

15.

Match all the parts with their measurement.

a)

9

1.

radius

b)

18

2.

diameter

c)

3.5

3.

height of cylinder

d)

2πr

4.

P

16.

What is the formula for lateral area of a cylinder?

a)

LA = Ph

b)

LA = πrl

c)

LA = 1/2 Pl

17.

Find the lateral area. The diameter is 18. Round to the nearest tenths.

18.

Match the numbers with their vocabulary word.

a)

12.8

1.

diameter

b)

1,286.8

2.

volume

c)

6.4

3.

radius

d)

10

4.

height of prism

e)

128.7

5.

area of the base

19.

The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.

a)

b)

c)

d)

e)

20.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

A

b)

B

c)

C

d)

D

21.

The cone has a height equal to the cube's (a) . The volume of the cone is (b) the volume of the cube. The volume of a cone is (c) .

Choose from the below words

height

less than

1/3Bh

more than

Bh

22.

If the cylinder has a radius of 4 cm and a height of 10 cm, describe the cross section including dimensions. The cross section is a (a) with h = (b) and b = (c) .

Choose from the below words

rectangle

10 cm

8 cm

4 cm

20 cm

square

circle

23.

What are the shapes in the diagram? SELECT ALL THAT APPLY

a)

cylinder

b)

2 hemispheres = whole sphere

c)

cone

d)

circle

24.

Match all the parts with their measurements.

a)

2

1.

radius

b)

4

2.

height of cylinder

(8 - 2r)

c)

8

3.

length of cylinder's height plus 2 radii

25.

What is the volume of the shape hint...8 is the whole length made up of the height of the cylinder (4) and the diameter of a sphere (4)

a)

V = cylinder + whole sphere

b)

V = Bh + 4/3πr³

c)

V = (πr²)(h) + 4/3πr³

d)

V = (π2²)(4) + 4/3π(2)³

e)

86.1 in³

1)

2)

3)

4)

5)

26.

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

The height of the cone is 10cm.

What is the radius?

(a)

27.

if this triangle is rotated about the x axis, match the correct items below

a)

cone

1.

solid of revolution

b)

6 units

2.

height

c)

3 units

3.

radius

d)

$\frac{1}{3}\pi r^2h$

4.

volume

28.

Find the surface area of the figure. Where the diameter is 8.6 ft.
Round your answer to the nearest hundredth.
Use the formula: $SA=4\pi r^2$

a)

232.35 $ft^2$

b)

116.18 $ft^2$

c)

928.94 $ft^2$

d)

58.06 $ft^2$

29.

Find the volume of the given sphere.

a)

418.7 cubic ft

b)

3,984.6 cubic ft

c)

4,188.8 cubic ft

d)

4,319.8 cubic ft

30.

Find the slant height of the pyramid. hint...pythagorean theorem, first cut the base in half for the bottom leg of the right triangle

a)

28 cm

b)

25 cm

c)

21 cm

d)

24 cm

31.

What is this figure?

a)

rectangular pyramid

b)

triangular pyramid

c)

rectangular prism

d)

triangular prism

32.

Match the number of pieces with their correct name.

a)

faces

1.

5

b)

vertices

2.

6

c)

edges

3.

9

d)

Euler's Formula

4.

F + V = E + 2

33.

What shape is the base of this prism?

a)

square

b)

rectangle

c)

triangle

d)

circle

34.

Match all the parts with their measurements. The base is an equilateral triangle.

a)

24

1.

Perimeter of the base

b)

8

2.

base of the base

c)

3

3.

height of the base

d)

12

4.

height of the prism

35.

Find the surface area of this triangular prism. Note the base is an equilateral triangle.

36.

What is this shape?

a)

rectangular pyramid

b)

square pyramid

c)

prism

d)

cone

e)

sphere

37.

Match all the parts with their measurements.

a)

11

1.

base of base

b)

10

2.

height of base

c)

6

3.

height of pyramid

d)

42

4.

perimeter of base

e)

110

5.

area of base

38.

What is the volume of rectangular pyramid?

39.

a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

a)

True

b)

False - the cross sectional areas are not relevant

c)

False - only the slant height is relevant

d)

False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

40.

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

a)

64:121

b)

8:11

c)

120:242

d)

512:1331

Quarter 3, CW #6 - Unit 11 Review

Total questions: 40

Worksheet time: 48mins

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