'4**$?'
COMMON
4. How many cubes with edge length 3 centimeters
Selected Response
1. The floor of a tent is a regular hexagon. If the
side length of the tent floor is 5 feet, what is the
area of the floor? Round to the nearest tenth.
(3D 32.5 square feet
will fit in a box that is a rectangular prism with
length 12 centimeters, width 15 centimeters, and
height 24 centimeters?
4^r 160
CD 480
(^ 65.0 square feet
CH) 1440
CD 75.0 square feet
CD 4320
Cg) 129.9 square feet
5. Right A4SC with legs AB = 9 millimeters and
2. Find the area of 00 in terms of 7r.
BC= 12 millimeters is the base of a prism
that has a volume of 513 cubic millimeters.
What is the height of the prism?
<3D 4.75 millimeters
CD 6 millimeters
<*£f 9.5 millimeters
Cg) 11 millimeters
CD 4007rin.2
(D 100 in.2
6. The radius of a sphere is doubled. What happens
to the ratio of the volume of the sphere to the
(E> 2007rin.2
surface area of the sphere?
1007rin.2
CD It remains the same.
3. Find the area of a regular hexagon with side
length 4 m. Round to the nearest tenth.
$$f It is doubled.
CH) It is increased by a factor of 4.
(X> It is increased by a factor of 8.
4m
7. To the nearest tenth of a cubic centimeter, what
is the volume of a right regular octagonal prism
with base edge length 4 centimeters and neight
7 centimeters?
apothem
J^V
h2mH
<2> 83.1 m2
CD 24 m2
4fy 41.6 m2
CS> 20.8 m2
426
Unit 3 Review/Test
CS) 180.3 cubic centimeters
CD 224.0 cubic centimeters
CD 270.4 cubic centimeters
540.8 cubic centimeters
8. A square pyramid has a base area of 225 square
meters and a volume of 2925 cubic meters. To the
13. The circle graph shows the colorsof automobiles
sold at a car dealership. Find mCD.
nearest meter, what isthe height of the pyramid?
CD 13 meters
CD 26 meters
39 meters
CD 52 meters
9. A cylinder has a height of 10 inches. The
circumference of the base is 28.3 inches. To the
nearest cubic inch, what is the volume of this
mCD = 36°
cylinder?
CD mCD=10°
(3D 141 cubic inches
CD mCD=170°
CD 283 cubic inches
CD mCD= 20°
tfjjf 637 cubic inches
CD 2545 cubic inches
Use the diagram for Items 14-16.
E .45°
10. The volume of the smaller sphere is 288 cubic
centimeters. Find the volume of the larger sphere.
3xcm
CD 864 cubic centimeters
14. What is mBC?
CD 2,592 cubic centimeters
CD 36"
(fgfr 7,776 cubic centimeters
10) 45°
CD 23,328 cubic centimeters
CD 54°
CD 72°
11. A cylinder has a volume of 24 cubic centimeters.
The height of a cone with the same radius is
two times the height of the cylinder. What is the
volume of the cone?
(3D 8 cubic centimeters
CD 12 cubic centimeters
1J(qA 16 cubic centimeters
CD) 48 cubic centimeters
12. The volume of a sphere is 2887Tcubic centimeters.
15. If the length of ED is 6ir centimeters, what is the
area of sector EFD1
(3D 207T square centimeters
tlfy 72?r square centimeters
CD 1207T square centimeters
CD 2407T square centimeters
16. Which of these line segments is NOT a chord
What is its surface area, rounded to the nearest
of OF?
hundredth?
CD EC
CD 113.10 square centimeters
[email protected] square centimeters
CD CA
AF
(JD 2842.45 square centimeters
CD 8527.34 square centimeters
CD AE
PARCC Assessment Readiness
427
17. A wheel from a motor has springs arranged as in
the figure. Find mZDOC.
22. Which steps can you take to construct the
tangent to ©M at point N on the circle?
^fc^Draw MN. Then construct the line through N
that is perpendicular to MN.
CD Draw MN.Then construct the line through M
that is perpendicular to MN.
CH) Draw MN. Then construct the perpendicular
bisector of MN.
CD Draw MN so that it intersects QM at points
P and N. Then construct the line through P
that is perpendicular to MN.
'mZDOC=1450
CD m^0OC=15O°
CD m^DOC=140°
CD mZDOC=130°
23. The illustration shows a fragment of a circular
plate. AB = 8 in., and CD = 2 in. What is the
diameter of the plate?
18. What is the arc length, rounded to the nearest
hundredth, of a semicircle in a circle with radius
5 millimeters?
CD 3.14 millimeters
CD 6.28 millimeters
j^fyt 15.71 millimeters
CD 31.42 millimeters
19. AABC is inscribed in a circle with center P. Side AC
passes through point P. Which of the following is
true?
C3D BC\sa radius of the circle.
CD PA < PC
CD mBAC= 90°
ZBACis a right angle.
®
4 in.
CD 5 in.
CD 8 in.
10 in.
24. Which line of reasoning can be used to begin to
derive the formula for the area of a circle with
20. A circle of radius r units has a central angle whose
measure is 30°. What do you multiply r by to find
the length of the arc intercepted by this central
angle?
CD 2-:
radius r and circumference C?
CD Divide the circle into eight congruent sectors
and treat each sector as a triangle with base
•^Cand height-jr.
CD £<*ide tne circle into eiyhi cong.ue:.:
sectors and arrange them to approximate a
parallelogram with base Cand height r.
CH) Dividethe circle into eight congruent
sectors and arrange them to approximate a
parallelogram with base jC and height r.
21. Circumscribed ^4flC is tangent to 0P at points A
sectors and arrange them to approximate a
CD BC1PC
trapezoid with bases f Cand f Cand height r.
CD balTa
BC=PC
CD BA s BC
428
Divide the circle into nine congruent
and C. Which statement is not always true?
Unit 3 Review/Test
Performance Tasks
Mini-Tasks
25
Use the diagram to find the value of x. Show your
work or explain in words how you determined
30. Zachary works for an outdoor supplycompany
and isin charge of creating the specsfor the
fc,ftW6fr"j-- m-y
tent shown below.
your answer.
(4x+10)
(6X+14)
VAic
26. The figure showsthe top view of a stack of cubes.
The number on each cube represents the number
of stacked cubes. The volume of each cube is
4 cubic inches. What is the volume of the
three-dimensional figure formed by the cubes?
The tent will be in the shape of a regular
hexagonal pyramid.
a. Zachary decides the distance from the center of
the tent's base to any vertex of the base will be
8 feet and the distance from any vertex of the
base to the top of the pyramid will be 10 feet.
What is the height of the tent?
b. The base of the tent is a regular hexagon. What is
the area of the base? Show your work, and round
youranswerto the nearesttenth of a square foot.
2
Holt
2
3
c. What is the volume of the tent? Show your work,
and round your answer to the nearest cubic foot.
d. Zachary's boss says that if they keep the distance
1
from the center to any vertex of the base 8 feet,
1
and they keep the height of the tent the same,
but they change the base of the tent to a
regular polygon with 8 sidesinstead of 6 sides,
27
28.
Find the volume of a cone with a base
the volume of the tent will increase by 33%.
circumference of 157T m and a height 3 m less
than twice the radius. Give your answer both in
terms of 7randrounded,.tothe nearest tenth-
IsZachary's boss correct? Explain why or why not.
Find the area of segment POM. Round to the
nearest tenth.
,^ ^
. 'y''
I03c^
31. The length of 7/is 10inches and mJMB is 225°.
Part A: Find the measure of ZJTB. Find the
circumference of circle T. Find the arc length of
JB. Find the area of circle T. Find the area of
sector JTB.
Part B: If the radius of circle 7" is doubled, will
the area of sector JTBalso double? Explain your
reasoning by finding the area of sector JTB when
the radius is doubled.
29. Find the volume of a sphere with diameter 24 ft.
Give your answer in terms of n.
P-^tV^
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