Question

A cube with a side length of 6 mm has a surface area to volume ratio of

Answer 1

The surface area (SA) of a cube, which has 6 faces, is the 6 times the area of one face, length×length, or:

`{l}^(2) * 6`
And the volume (V) of a cube is the length times width times depth, which are all the same (length×length×length), or:

`{l}^(3)`
Therefore the SA/V ratio is:

`6 {l}^(2) / {l}^(3) = 6( {6}^(2)) / ( {6}^(3) ) = 6(36) / 6 / 216 = 216 / 216 = 1`

Answer 2

it has a surface area to volume ratio of 1:1