A rectangular block of clay measures 10 cm by 8 cm by 6 cm. Leonard used some of it to make three 4 cm cubes. He used the rest of the clay to make as many 5-cm cubes as possible. What was the maximum number of 5-cm cubes he could make?
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Leonard starts off with 480 cubic cm of clay.
then takes away three 4cm cubes... these have a volume of 4x4x4=64 cubic cm each so take away 3*64 =192 total...
480 -192 = 288 cubic cm left.
now Leonard is gonna make as many 5 cm cubes with what's left.
each 5cm cube has volume 5x5x5=125 cubic cm..
how many of these do you think can be made with what's left?