Question : A cuboid measures 27 cm by 25 cm by 15 cm. Daryl said that the maximum number of 3 cm cubes that can be put in this cuboid is 375.Do you agree with Daryl? Write down how you would explain your answer to him.

Answer: I disagree with what Daryl had said. As the maximum number of cube that can be put into this cuboid is actually 360 and not 375. We cannot use 27* 25 * 15 then divide 27 (the volume of the cube). The correct method that we should use is to divide all the side by 3 like 27 divide by 3 , 25 divide by 3 and 15 divide 3 the answer we get is 9, 8 remainder 1 and 5 respectively. Then we take the whole number multiply together like 9*8*5 and it will give us the answer 360. We shouldn’t use the 27*25*15 because if we use this method, not all the cube can be fix into the cuboid nicely. Therefore, I the answer for this question is not 375 it is actually 360.