Question

surface area of small fig.=4ftsquared SA for big fig.= 'x' Volume of small fig.=8ft cubed Volume of big fig. =125ft cubed

Answer 1

If two 3D figures are similar, and x and y are the corresponding sides for the two figures, then


Ratio of Sides: x/y

Ratio of Areas: (x/y)^2

Ratio of Volumes: (x/y)^3

Answer 2

but how do you set up the equation
is it

Answer 3

\[\frac{ 2 }{ x }=\frac{ 8 }{ 125 }\]

Answer 4

I guess x and y was a bad choice, let me use a,b

Ratio of Sides: a/b

Ratio of Areas: (a/b)^2

Ratio of Volumes: (a/b)^3

-------------------------------------------------------

So if the surface areas are 4 and x, then we can say

(a/b)^2 = 4/x

which leads to

a/b = sqrt(4/x)

when you take the square root of both sides



and if the volumes are 8 and 125, then

(a/b)^3 = 8/125

( sqrt(4/x) )^3 = 8/125

sqrt(4/x) = cube root of (8/125)

sqrt(4/x) = 2/5

4/x = (2/5)^2

4/x = 4/25

x = ??

Answer 5

ty ty <3

Answer 6

np