Question

Can someone very simple explain this and use an example? Part 1: Create and provide the dimensions for two similar figures of your choosing.
Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume?
Part 3: Show your work, either using the actual volumes or using the formula, that the volume ratio is true.

Answer 1

This question i dont quite understand? Please someone help?

Answer 2

im assuming by two similar figure they mean the same figure with different dimensions, so use a figure like a cube that is easy to solve for surface area and volume

Answer 3

Ok and then?

Answer 4

Like can you show me how to do these problems? Its the last question of the night and im stumped ._.

Answer 5

so say the first cube has length=width=height=2
and the second l=w=h=4
solve for the surface area and the volume of each to start

Answer 6

Wait so they all equal 2? Then its be 8? Wouldnt it?

Answer 7

And the second one would be 64?

Answer 8

volume=l*w*h
surface area = 6*l*w
for cubes

Answer 9

Bleh im sorry ._. its late and im like braindead.

Answer 10

the similarity ratio for these would be 1/2 because the first cubes dimensions are 1/2 of the second cubes

Answer 11

ive been there dont worry

Answer 12

nnow we need to solve for the volumes and surface areas with the equations i gave you and find their ratios

Answer 13

Alright, so we have to solve there two numbers you gaves me for volume and surface areas using there formulas?

Answer 14

sorry ratio of surface area to volume would be SA/V for each cubes (the ratio will be the same for both)

Answer 15

yep

Answer 16

So i do what i just said?

Answer 17

yep

Answer 18

But you only gave me 2 numbers. when i need more then that? You gave me 2 and 4.

Answer 19

so for the first cube length=2in height=2in and width =2in
so volume is 2in*2in*2in=8in^3
surface area =6in*2in*2in=24in^2
i just decided to use inches for my units but it could be any unit of distance

Answer 20

sorry surface area =6*2in*2in

Answer 21

Whered you get the 6 from?

Answer 22

because the area of a square is its hieght times its width
and there are six 'faces' of a cube that are all squares

Answer 23

so its surface area is six times the area of on of those squares

Answer 24

Ohhhh.

Answer 25

now the ratio of surface area to volume would be 24/8=3

Answer 26

if you solve for the surface area and volume of the cube whose length width and height all equal four you will find its ratio to also be 3

Answer 27

Snap your a genius :D

Answer 28

Alright, so to answer my 3 questions basically,
1. (2,2,2) (6,2,2)
2. The similiarity rate is 24/8=3
And 3 is just where i show how i did it?

Answer 29

NOOOOOOOOOOOOOOO, you went offline ._.

Answer 30

Can someone please finish this? Did i do what i need to submit correctly? And if not could you please help me?

Answer 31

sure