Question

A cube has a volume of (0.75xy)3 cubic centimeters.

What is the volume of the cube expressed as a fraction?

Answer 1

`(27)/(64) x^(3) y^(3) cm^(3)`

Explanation:

0.75 means 75/100 which is equal to 3/4.

Cube of 3/4 is
`(3^(3) )/(4^(3) )`= 27/64

x cube means x will be multiplied with itself thrice, which is
`x^(3)`and following the same logic, y cube means y will be multiplied with itself three times which is
`y^(3)`. The unit
`cm^(3)`at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.