Question

The ratio of the heights of two similar rectangular prisms is 3:4. What is the ratio of their lateral areas?

27:64

3:7

9:16

1:0.75

Answer 1

that would be r^2 = 4/16

Answer 2

*9/16

Answer 3

what is r? the ratio? can you give me an example problem and solved. i didnt get taught this lesson.

Answer 4

okay, here goes

Answer 5

so lets assume the Area of a square\[A=l ^{2}\], l being the side of said square
Now imagine that we have a second square that has a ratio r. So second square has side =r times l, thus \[A _{2}=(rl)^{2}=r ^{2}l ^{2}=r ^{2}A\]So the area of the second square is equal to r^2 times the original area.

Answer 6

Simplifying,
a lenght is r times original lenght
an area is r^2 times original area
a volume is r^3 times original volume

Answer 7

so for this one the answer is 9:16 ?

Answer 8

@Syderitic ?

Answer 9

yes you are correct LivForMusic