Question

Please help!! Which of the following could represent the scale factor of the smaller figure to the larger figure?
Smaller figures volume is 216in.^3
Larger figures volume is 343in.^3

Answer 1

The figures are square pyramids

Answer 2

The answer choices(pick two):
A. 216:343
B. 6:7
C. 72:98
D. 648:1,029
E. 36:49
F. 30:35

Answer 3

By scale factor we are looking for the ratio of the sides.
The ratio of the volumes is cubed.
By cube-rooting the ratio we can find the ratio of the sides.

Answer 4

How do you cube root something @LollyLau

Answer 5

You do it on your calculator. These are nice enough numbers to cube root mentally.

Answer 6

There is not a ^3 key on my calculator, is there any other way to do it?

Answer 7

Do you mind telling me what the numbers are if you can do it metally?

Answer 8

Please @LollyLau

Answer 9

For instance, 6^3 = 216, so the cube root of 216 is 6.

Answer 10

Okay so 6:7 is one of the answers then, how would I find the other?

Answer 11

To by knowledge there should only be one answer, but if it asks for two you can try squaring the sides.

Answer 12

Thank you so much I'll give you a medal:) is there anyway you could help me with a couple more?

Answer 13

@LollyLau

Answer 14

Sure thing.

Answer 15

Okay so this is the same type of question except we have similar cylinders.
The surface area of the smaller one is 20π^2.
The surface area of the larger one is 125π^2

Answer 16

Answer choices(again pick two):
A. 4:25
B. 6π:15π
C. 8:125
D. 20π:125π
E. 16π:250π
F. 2:5

Answer 17

x : x^2 : x^3
is the ratio between
Length : Area : Volume
You can try taking the square roots to obtain the ratio between the lengths,
and cube the subsequent ratio to obtain the ratio between the volumes.

Answer 18

I don't understand... And also I don't know why some of the answers are in π and some aren't??

Answer 19

Could you maybe show me how to do this one and give the answer and then I can try the next one by myself?

Answer 20

@LollyLau

Answer 21

If you take the square roots you would have
2sqrt(5)pi : 5sqrt(5)pi
= 2 : 5
If you cube this you would have the ratio between the volumes.

Answer 22

Gn