Question

Find the scale factor of a prism with the surface area of 81m(squared) to a similar prism with the surface area of 361m(squared)

Answer 1

sqrt(361) : sqrt(81)

Answer 2

How do I solve that

Answer 3

Nevermind thank you. Will you help me with another?

Answer 4

9:19 given the smaller surface area is mentioned 1st.

Answer 5

Will you help me with another question please

Answer 6

^.^ sure

Answer 7

Are the two figures similar? If so,give the similarity ratio of the smaller figure to the larger figure.

Answer 8

To be similar, all corresponding lengths must be in the same ratio.

Answer 9

Welp he just said what I was going to say...

Answer 10

So it wouldn't be corresponding?

Answer 11

The large figure has length 34.
The small figure has length 17.
The ratio of lengths is 34/17 = 2/1

Now check if the ratios of the widths and heights are also the same.

Answer 12

Is 17/34 equal to 7/42, also is it equal to 2/6?

Answer 13

Now let's look at heights.
The height of the larger solid is 42.
The height of the smaller solid is 7.
The ratio is 42/7 = 6/1

Since the ratio 6/1 of the heights is not the same as the ratio 2/1 of the lengths, the solids are not similar.
We don't even need to check the ratio of the depths.

Answer 14

Thank you what about with this one?

Answer 15

WHAT WAS YOUR ANSWER FOR THE FIST ONE?

Answer 16

ahh caps.. whoops :/

Answer 17

No they are not similar so there is no ratio

Answer 18

bingo!

Answer 19

Thank you!CAn you help with this one?

Answer 20

Look at both cylinders. Each cylinder has two given dimensions.
Can you name two dimensions that are corresponding, one in the large cylinder, and one in the small cylinder?

Answer 21

Yes ^

Answer 22

4:6.4

Answer 23

Correct.
The heights are 4 and 6.4, and they are corresponding dimensions.
Now can you name the other two corresponding dimensions?

Answer 24

You are correct! :)

Answer 25

h/H = 4/6.4

Now what is r/R = ?

Answer 26

2:3.2

Answer 27

Correct.
If the cylinders are similar, then both ratios must be equal.

Is 4/6.4 equal to 2/3.2?

Answer 28

no

Answer 29

\(\dfrac{2}{3.2} = \dfrac{2}{3.2} \times \dfrac{2}{2} = \dfrac{4}{6.4} \)

Since multiplying the fraction 2/3.2 equals 4/6.4, then the fractions 2/3.2 and 4/6.4 are equivalent fractions.

This means that the ratio of the radii and the ratio of the heights are the same.
That makes the cylinders similar.