Necessary and sufficient conditions for application of binomial distribution : 1. trial must be Bernoulli, i.e. exactly two outcomes (defective or not defective) 2. number of trails is known and not dependent on outcomes (2). 3. probability of each trial must be known and is constant throughout trials (3/10, with replacement) 4. all trials are random and independent of each other.
You can use the factors of the volumes 24, 27 and 48: For example: 8 by 3 by 1 is a total volume of 24 or if you know that 4 times 2 is 8: 4 by 2 by 2 and so on