Test 5 (chapters 10 and11)
Complete each statement.
.
1.
The —?— of a prism are the line segments where the lateral faces intersect.
2.
A —?— is the set of all points in space at a given distance from a given point.
3.
The altitude of a pyramid is a —?— segment from the —?— to the plane of the base.
4.
An object’s density is calculated by dividing the —?— of the object by its —?—.
Find the volume of each solid. In Problem 2, the base is a trapezoid. All given measurements are
in centimeters.
5.
6.
6 ft
3 ft
8 ft
4 ft
7.
8. h = 8 cm
9.
Solve each problem. In Problems 1–3, measurements are given in centimeters.
10. Find c. V = 195.3 cm3
11.Find r. V = 2560 cm3
12.h=10. Find the density of the solid if its mass is 1144 grams.
13. Find the volume of a cone with a diameter of 12 inches and a height of 15 inches.
14. A pyramid with an equilateral triangle for a base has a volume of 48 3 cm3 and a height of 16 cm. Find the
length of each side of the equilateral triangle.
15. Find the volume and the surface area of the solid below. Include the area of the base of the hemisphere in your
calculations for the SA.
16. Find the volume and surface area of the solid. Measurements are in centimeters. Hint 3-4-5
17. A scoop of ice cream with diameter 6 cm is placed in an ice cream cone with diameter 5 cm and height 10 cm.
Is the cone big enough to hold all the ice cream if it melts? Explain.
18. An object’s density is calculated by dividing the_________________of the object by its __________________.
19. A _________________ prism has lateral faces that are perpendicular to the two bases.
20. You can determine the _________________ of an irregularly shaped object by measuring its displacement.
21. Give an accurate d escription of the follow ing using your new vocabulary.
a) Can
b)Those things in the sand in Egypt.
c) Sponge Bob
22. Is
BAK ~ JOL? (yes/no),why = _________
23. Is
ACE ~ SPY? (yes/no), why = _________
24. Igor, who is 4 8 tall, wishes to find the height of an oak tree out in front of his castle. He walks along the shadow of
the tree until his head is in a position where the end of his shadow exactly overlaps the end of the treetop’s shadow. He
is now 22from the foot of the tree and 11 from the end of the shadows. How tall is the oak tree? Express your answer
in feet.
25. Name the three conjectures that show similarity.
26. v = –?–
27. k  l  m  n w – z = –?–
28. The dimensions of the small cylinder are three fifths of the larger. The volume of the small cylinder is 2160 cm3. Find
the volume of the large cylinder.
Answ ers:
1. Ed ges
2. Sphere
3. Perpend icular line, Vertex or Apex
4. Mass, Volum e
5. 252cm 3
6. 120 ft 3
7. 90 in3
8. 1024cm 3
9. 750cm 3
10. 9.3 cm
11. 16 cm
12.
g
0.759
cm3
13. 180 in3
14. 6 cm
15. Volume  2250cm 3 , SA  675cm 2
16. Volume  129cm 3 , SA  102cm 2
17. Vicecream  36cm 3 , Ccone  20.8cm 3 , no, the volum e of the cone is not enough.
18. Mass, Volum e
19. Right
20. Volum e
21. a) Right Cylind er b) Rectangular Based Right Pyram id
c) Rectangular Base Right Prism
w ith arm s and legs.
22. N o, sid es not proportional
23. no, angles not congruent
24. 14 ft
25. AA, SAS, SSS
26. 78
27. -141
28. 10000cm 3