each student in an art class has 48 identical 1 cm cubes. Each student glues all of his or her cubes together to make a rectangular solid. No two solids are identical. What is the maximum number of students in that art class ?

Answer 1

well, the sets of three factors of 48 are

1,1,48
1,2,24
1,3,16
1,4,12
1,6,8
2,2,12
2,3,8
2,4,6
3,4,4

Looks like the 10th student will have to duplicate one of those solids.

Answer 2

Look above me for answer

Answer 3

because their are 9 three-set factors, the tenth student would have a duplicate of one of the other models. The answer is 9.

Answer 4

Teh answer is 9

Answer 5

Emily plays a game that uses a marker, a coin and a number line. Her marker begins at zero on the number line. She flips the coin. If the coin lands heads up, she moves her marker 3 units to the right. If the coin lands tails up, she moves her marker 10 units to the right. There fore there are some numbers that the marker cannot land on, such as 1, 2, 4 and 5. What is the greatest whole number on the number line that cannot be landed on?