Question

Ratio of volumes of two cubes is 1:27. Then ratio of
their TSA is​

Answer 1

Answer:

1:9 is the ratio of their TSA's

Step-by-step explanation:

The volume of a cube of side s is s^3

Let the volumes be x^3 and 27x^3

Now the sides are x and 3x

The cube has a total of 6 square surface

Area of 1 square of side n is n^2

Area of 6 squares is 6n^2

Total surface area=6n^2

TSA=6(x)^2=6x^2. TSA=6(3x)^2=54x^2

Ratio=6x^2:54x^2=1:9