Question

Which of these could be the dimensions of a unit cube? Select all that apply. 1 ft. by 1 ft. by 1 ft. 1 in. by 2 in. by 1 in. 1 ft. by 1 in. by 1 cm El mm by mi byl mm 1 m by 1 m by 2 m

Answer 1

Since it is a cube, all its three dimensions must be equal.

Also the term 'unit cube' is used which suggests that the volume of the cube should be 1 units.

Consider that the 2nd and 5th options are incorrect as the dimensions are note equal.

Consider the third dimension, note that before analyzing the numeric part we should make sure that the units are same for all three dimensions.

Here, the units are different, and we know that,

`1\text{ ft }\\e1\text{ in }\\e1\text{ cm}`

So the third option is also incorrect.

Consider that the options 1st and 4th consist all three dimensions same. Also their product yields 1 in the same cubic units.

So they both represent a unit cube.

Therefore, options 1st and 4th are the correct choices.