Question

RATIO OF THE SURFACE AREA OF THE CUBES IS 25 IS TO 36 FIND THE RATIO OF THEIR VOLUMES

Answer 1

Step-by-step explanation:

S1/S2 = 25/36

6axa/6AxA = 25/36

a.a/A.A = 25/36

a/A = 5/6

Now,

V1/V2 = 5x5x5/6x6x6

V1/V2 = 125/216

Answer 2

Answer:

Step-by-step explanation

Surface area of cube1/surface area of cube2=25/36

Surface area of a cube= 6side^2

Let the side of cube1 be A

Let the side of cube2 be a

So,

6A^2/6a^2= 25/36

(A/a)^2= (5/6)^2

A/a = 5/6

Volume of a cube = side^3

So,

Volume of cube1/volume of cube2

A^3/a^3= 5^3/6^3

=125/216

Ratio of volume of two cubes is 125:216