Two cubes have sides of length 3 cm and 8 cm. what is the ratio of their respective surface areas?

The surface area formula for a cube is: 6 * s^2, where s is the side length.

The two surface areas are:

6 * 3^2 = 54

and

6 * 8^2 = 384

The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:

54/384 = 9/64

The answer is 9/64.

Note that another way to to find the ratio of the squares of the side lengths of the cubes.

The ratio of respective surface areas will be "".

Given values are:

Cube's side length,

Another cube's side length,

Now,

→ The surface area of cube will be:

=

=

=

=

→ The another cube's surface area will be:

=

=

=

=

hence,

The ratio of respective surface areas will be:

=

=

=

Thus the above answer is correct.

Learn more about surface area here:

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step-by-step explanation: