I'm not really sure if I can ask for help with multiple questions but I've attached everything to the images and would really appreciate some help.
I'm not really sure if I can ask for help with multiple questions but I've attached everything to the images and would really appreciate some help.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 6E
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I'm not really sure if I can ask for help with multiple questions but I've attached everything to the images and would really appreciate some help.
Transcribed Image Text:Two pyramids are similar and their surface areas are in a ratio of 1:4. What is the
ratio of their volumes?
6)
a.
1:2
b.
1:4
1:8
C.
d.
1:16
е.
1:32
Two cylinders are similar and their volumes are in a ratio of 5:4. If the smaller
cylinder has a radius of 10, find the other cylinder's radius to the nearest tenth.
7)
a.
9.7
b.
10.1
с.
10.5
d.
10.8
е.
11.0
8)
Square pyramid A has a height of 4 and a base side length of 6. Find pyramid B's height
if it is similar to pyramid A and has a surface area of 144.
3.3
3.9
a.
b.
с.
6.5
d.
5.7
е.
5.2
9)
If two prisms are similar and their surface areas are in a ratio of 9: 25, what is the
ratio of their volumes?
a.
1:5
b.
3:5
с.
9:25
d.
27:125
81:375
е.
AABC and ADEF are similar. If AB = 6, AC = 12, EF = 20, FD = 16, what is the ratio
areaAABC : areaADEF?
10)
a.
9:25
b.
4:3
с.
1:4
d.
5:4
е.
9:16
Transcribed Image Text:1)
Two pyramids are similar and their surface areas are in a ratio of 1:4. The larger
pyramid's height is 10. Find the other pyramid's height.
a.
2.5
b.
5
с.
10
d.
20
е.
40
2)
The ordered triplets (a, b, c) represent the side lengths of a triangle. Which of these
triplets produce a triangle similar to a triangle with sides (3, 4, 5)?
(6, 9, 12)
(9, 12, 15)
(12, 15, 24)
(16, 20, 25)
(18, 25, 30)
а.
b.
с.
d.
е.
3)
If two cones are similar and their slant heights are in a ratio of 1: 2, what is the ratio of
their volumes?
а.
1:1
b.
1:2
1:4
1:8
с.
d.
е.
1:16
Two triangles are similar and their areas are in a ratio of 1:9. What is the ratio of their
perimeters?
4)
а.
1:1
b.
1:3
с.
1:6
d.
1:9
е.
1:27
5)
Cone A has a volume of 16 and a surface area of 10. Cone B is similar to cone A and has
a surface area of 16. What is cone B's volume to the nearest integer?
a.
27
b.
32
C.
35
d.
39
е.
41
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