Question

5) Two prisms have a scale factor of 1:4. What is the ratio of their surface areas? 6) Two pyramids have a scale factor of 2:7. What is the ratio of their volumes? 7) The surface area of two similar cones is in a ratio of 64:121. What is the scale factor? 8) The volume of two hemispheres is in a ratio of 125:1728. What is the scale factor? Some information about the surface area and volume of two similar solids has been given. Find the missing value. 9) Solid #1 SA = 1088 km" V = 13312 km# Solid #2 SA = 425 km" V = ? 10) Solid #1 SA = 1100 yd" V = 19000 yd# Solid #2 SA = 176 yd" V = ?

          5) Two prisms have a scale factor of 1:4. What is the ratio of their surface
areas?

6) Two pyramids have a scale factor of 2:7. What is the ratio of their
volumes?

7) The surface area of two similar cones is in a ratio of 64:121. What is the
scale factor?

8) The volume of two hemispheres is in a ratio of 125:1728. What is the
scale factor?

Some information about the surface area and volume of two similar solids
has been given. Find the missing value.
9)
Solid #1
SA = 1088 km"
V = 13312 km#

Solid #2
SA = 425 km"
V = ?

10)
Solid #1
SA = 1100 yd"
V = 19000 yd#

Solid #2
SA = 176 yd"
V = ?

Show more…

5) Two prisms have a scale factor of 1:4. What is the ratio of their surface
areas?

6) Two pyramids have a scale factor of 2:7. What is the ratio of their
volumes?

7) The surface area of two similar cones is in a ratio of 64:121. What is the
scale factor?

8) The volume of two hemispheres is in a ratio of 125:1728. What is the
scale factor?

Some information about the surface area and volume of two similar solids
has been given. Find the missing value.
9)
Solid #1
SA = 1088 km"
V = 13312 km#

Solid #2
SA = 425 km"
V = ?

10)
Solid #1
SA = 1100 yd"
V = 19000 yd#

Solid #2
SA = 176 yd"
V = ?

Added by Carla C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Sri K

06/17/2022

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Transcript

00:01 Hello students, welcome, fifth one.

00:04 Scale factor is 1 is to 4.

00:16 Ratio of surface area is equal to...

00:23 Ratio of surface area.

00:33 1 divided by 4 whole square is equal to 1 divided by 16.

00:42 That is equal to 1 is to 16.

00:49 1 is to 16 the ratio is next 6th 1 scale factor is 2 is to 7 ratio of volumes is equal to 2 divided by 7 whole cube this is equal to 8 divided by 3143 the ratio is 8 is to 343.

01:56 7th 1.

01:59 Scale factor is equal to and the root of 64 divided by 1201 is equal to 8 .8 divided by 11.

02:22 So the scale factor is 8 is to 11.

02:38 8th 1.

02:41 Scale factor is 125 divided by 1 ,728 whole power 1 divided by 3.

02:59 So we have to find the ratio of volumes.

03:04 125 can be written as 5 power 3, 5 cube.

03:08 And 1 ,7208 is 12 cube.

03:14 Power 1 divided by 3 this is equal to 5 divided by 12 scale factor is equal to 5 is to 12 9th 1 surface area of solid 1 is 1 ,000 ,000, the surface area of solid 1 is 1 ,0008 the surface area of solid 2 is 422 scale factor is equal to on the root of 1 ,0 .08 divided by 425 is equal to 1 .6.

04:16 This can be written as 16 divided by 10 is equal to 2 aza to 5za.

04:25 8 divided by 5...

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