Quiz about 2D and 3D Review

Question 1

A ___________ polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Accepted Answer

regular

Answer

plain

Answer

perfect

Answer

magical

Question 2

What does the 'a' stand for in the following formula?

Accepted Answer

apothem

Answer

area

Answer

apossum

Answer

altitude

Question 3

What would be the first step in finding the area of the pentagon?

Accepted Answer

draw in the apothem

Answer

calculate the length of the side

Answer

calculate the length of the radius

Answer

find the angle measure

Question 4

Find the area of the composite figure

Accepted Answer

61

Answer

40

Answer

9

Answer

49

Question 5

Question 5.

Accepted Answer

40 yd2

Answer

40 yd

Answer

80 yd2

Answer

18 yd2

Question 6

find the area of the kite using the formula: A = 1/2 * d₁*d₂.

Accepted Answer

39

Answer

19.5

Answer

78

Answer

27

Question 7

find the area of the circle below.

Accepted Answer

28.26 cm

Answer

100 cm

Answer

225 cm

Answer

9 cm

Question 8

Calculate the area of a parallelogram with a base of 5 meters and a height of 3 meters.

Accepted Answer

15 sq. meters

Answer

8 sq. meters

Answer

10 sq. meters

Answer

20 sq. meters

Question 9

The area of a trampoline is 78.5 ft². Find the radius of the trampoline.

Accepted Answer

5 ft

Answer

7 ft

Answer

10 ft

Answer

25 ft

Question 10

When the dimensions of a figure are changed by a scale factor of 3, what happens to the perimeter?

Accepted Answer

The perimeter will be multiplied by 3

Answer

The perimeter will be 3 more than the preimage

Answer

The perimeter will be multiplied by 9

Answer

There is no way to know, we don't have the measurements

Question 11

If a rectangle has an area of 48 cm², what would be the area of a similar rectangle if the dimensions are doubled?

Accepted Answer

192 cm2

Answer

96 cm2

Answer

216 cm2

Answer

2304 cm2

Question 12

Two rectangles are similar. If the dimensions of the smaller rectangle are 1/4 the size of the larger, the area of the smaller rectangle is ______ the area of the larger rectangle. (What number goes in the blank?)

Accepted Answer

1/16

Answer

1/4

Answer

1/8

Answer

1/2

Question 13

What is the surface area?

Accepted Answer

452.16 mm²

Answer

6658.56 mm²

Answer

904.32 mm²

Answer

108.8 mm2

Question 14

Find the volume of the Sphere

Accepted Answer

523.6 m3

Answer

78.5 m3

Answer

392.5 m3

Answer

62.8 cm3

Question 15

Find the volume of the hemisphere

Accepted Answer

452.2 in3

Answer

904.3 in3

Answer

226.1in3

Answer

113.0 in3

Question 16

What is the volume of the pyramid?

Accepted Answer

56m3

Answer

168m3

Answer

84m3

Answer

174m3

Question 17

Find the surface area of the square pyramid.

Accepted Answer

429 sq. cm

Answer

389 sq. cm

Answer

441 sq.cm

Answer

377 sq. cm

Question 18

Find the total surface area of the cone. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.

Accepted Answer

1462 sq. m

Answer

1158.5 sq. m

Answer

1287.2 sq. m

Answer

1007.9 sq. m

Question 19

What is the total surface area of the triangular prism shown?

Accepted Answer

468 in2

Answer

540 in2

Answer

576 in2

Answer

700 in2

Question 20

Use pi=3.14.  Round to the nearest hundredth.

Accepted Answer

502.4mi3

Answer

503mi3

Answer

502.64cm3

Answer

2009.6mi3

Question 21

Which equation can be used to find the volume of this figure?

Accepted Answer

Vol = (1/2 x 8 x 7) (13)

Answer

Vol = (8 x 7) (13)

Answer

Vol = (8 x 13) ( 7)

Answer

Vol = (1/2 x 8 x 13) (7)

Question 22

Find the total surface area ?

Accepted Answer

130cm2

Answer

10.30cm2

Answer

130cm3

Answer

144cm2

Question 23

Calculate the composite surface area of the figure. (Hint: Total surface area for both figures)

Accepted Answer

5640.76 cm²

Answer

4605.38 cm²

Answer

5262.76 cm²

Answer

4919.76 cm²

Question 24

What is the name of this shape if I stack 1000 congruent shapes on top of each other?

Accepted Answer

hexagonal prism

Answer

hexagonal pyramid

Answer

octagonal prism

Answer

prism

Question 25

What is the name of this shape if I stack 1000 similar shapes on top of each other?

Accepted Answer

hexagonal pyramid

Answer

hexagonal prism

Answer

octagonal prism

Answer

prism

Question 26

What solid 3D object is produced by rotating the square about line m?

Accepted Answer

Cylinder

Answer

Rectangular Prism

Answer

Cone

Answer

Triangular Prism

Question 27

Which statement is true?

Accepted Answer

Volume is the measure of the amount a container can hold.

Answer

Volume is the area of the surfaces of a container added together.

Answer

Surface area is the measure of the space inside a container.

Answer

Surface area is the area of the base of a container.

Question 28

Which solid results from rotating the triangle using the axis of rotation shown?

Accepted Answer

cone

Answer

hexagonal pyramid

Answer

triangular pyramid

Answer

triangular prism

Question 29

Rotating this rectangle around segment BD will create a cylinder with ...

Accepted Answer

a radius of 15 cm and a height to f8 cm

Answer

a radius of 30 cm and a height of 8 cm

Answer

a radius of 15 cm and a height of 16 cm

Answer

a radius of 8 cm and a height of 15 cm

Question 30

A semi-circle with points A and B is shown. When the semi-circle is rotated about the side AB, which of the following three-dimensional figures is created?

Accepted Answer

sphere

Answer

cone

Answer

cylinder

Answer

cube

Question 31

A rectangle and a horizontal line segment are shown. What is the resulting object when the rectangle is rotated around the horizontal line segment?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 32

Describe the cross section.

Accepted Answer

triangle

Answer

rectangle

Answer

oval

Answer

trapezoid

Question 33

Describe the cross section.

Accepted Answer

triangle

Answer

rectangle

Answer

trapezoid

Answer

square

Question 34

Describe the cross section.

Accepted Answer

rectangle

Answer

square

Answer

parallelogram

Answer

circle

Question 35

What shape will the vertical cross -section of a cylinder be?

Accepted Answer

Rectangle

Answer

Circle

Answer

Triangle

Answer

Ellipse

Question 36

What shape will the angled cross-section of a rectangular pyramid be?

Accepted Answer

Trapezoid

Answer

Triangle

Answer

Rectangle

Answer

Square

Question 37

What shape will the vertical cross-section of a cube be?

Accepted Answer

Square

Answer

Triangle

Answer

Trapezoid

Answer

Circle

Question 38

Describe the cross section.

Accepted Answer

rectangle

Answer

trapezoid

Answer

triangle

Answer

square

Question 39

What is the sum of exterior angles for a 27-gon?

Accepted Answer

360

Answer

4860

Answer

4500

Answer

270

Question 40

What is the name of a 7 sided polygon?

Accepted Answer

heptagon

Answer

hexagon

Answer

octagon

Answer

nonagon

Question 41

What is the sum of measures of interior angles of a 23 gon?

Accepted Answer

3780

Answer

3460

Answer

3620

Question 42

What is the measure of EACH interior angle of a regular 18 gon?

Accepted Answer

160

Answer

140

Answer

190

Question 43

What is the sum of the measures of the exterior angles of a dodecagon?

Accepted Answer

360

Answer

180

Answer

1440

Answer

144

Question 44

What is the measure of each exterior angle of a regular 20-gon?

Accepted Answer

18

Answer

360

Answer

162

Answer

3240

Question 45

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

Accepted Answer

360

Answer

n

Answer

(n - 2)180

Answer

(n - 1)180

Question 46

How do the interior and exterior angles of a polygon relate?

Accepted Answer

They are supplementary

Answer

They are complementary

Answer

They are congruent

Answer

They have no relationship

Answer

The relationship depends on what polygon is being used

Question 47

What is the measure of EACH EXTERIOR angle of a regular 67-gon?

Accepted Answer

5.4

Answer

11700

Answer

3.2

Answer

113

Question 48

FIND THE ARC LENGTH OF THE BOLDED ARC

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 49

FIND THE ARC LENGTH OF THE BOLDED ARC

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 50

Find the area of the shaded sector of the circle.

Accepted Answer

$$\frac{175\pi}{4}m^2$$

Answer

$$\frac{27\pi}{2}m^2$$

Answer

$$\frac{112\pi}{9}m^2$$

Answer

$$103\pi\ m^2$$

Question 51

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

Accepted Answer

69

Answer

40

Answer

35

Answer

55

Question 52

An arc is a smaller piece of the...

Accepted Answer

Circumference

Answer

Chord

Answer

Center

Answer

Radius

Question 53

Find the area of the shaded sector

Accepted Answer

212.06 cm²

Answer

173.42 cm²

Answer

237.50 cm²

Answer

not enough information

2D and 3D Review

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