If the scale factor of two similar solids is 4:9, what is the ratio of their corresponding areas? What is the ratio of their corresponding volumes? Please help, thank you.

Question

ashleyisakitty · Answer

@Compassionate would you know how to do this problem?

compassionate · Answer

So, for the 4:9 we have 4/9 

We just square it

16:81

16/81 = 0.2 

I have to hurry in the shower, be back in a minute. Need to do it before my relative goes to bed. If you're still here :)

ashleyisakitty · Answer

is that volume or area?

ashleyisakitty · Answer

Okay ill be here waiting :)

compassionate · Answer

I'm back!

ashleyisakitty · Answer

Great, so were your calculations the volume ratio?

compassionate · Answer

Alright, one second, I was calculating the ratio. Ha ha. Okay, give me a minute to re-do it.

ashleyisakitty · Answer

16:81 is correct but did you do it for volume or area?

compassionate · Answer

That's the ratio of the solids

ashleyisakitty · Answer

Oh.

compassionate · Answer

Take the scale factor and square it to get the ratio.

ashleyisakitty · Answer

well the area or volume will be 16:81

compassionate · Answer

Right, Nicole. That's true. 

For areas, just square the ratio. (4:9)^2 = (16:81) 

For volumes, just cube. (4:9)^3 = (64:729)

ashleyisakitty · Answer

Right. Thats what I thought. Thank you.

compassionate · Answer

Lets jump over to your other question.