Question

Erin designs a trophy stand using one-inch cubes. The stand is shaped like a rectangular prism. How many different stands can Erin design using exactly 12 one-inch cubes?
A) 8
B) 3
C) 5
D) 2

My work is 4*3*1, 12*1*1, 6*2*1, 2*2*3
Erin can make 4 different stands. Could someone help me what I am doing wrong. Thank you for your help.

Answer 1

1 * 12.
2 * 6.
3 * 4.

Total = 3 different stands.

Answer 2

add to Henry's:
base square of 4, up 3
base rectangle of 6, up 2

five different prisms

Answer 3

Question is not clear on orientation of the stand (e.g. 12 blocks in a row is different than 12 blocks in a column)

Total = 10 different stands

Length x Width x Height = 12 cu in
1 x 12 x 1 = 12
2 x 6 x 1 = 12
4 x 3 x 1 = 12
1 x 6 x 2 = 12
2 x 3 x 2 = 12
1 x 4 x 3 = 12
2 x 2 x 3 = 12
1 x 3 x 4 = 12
1 x 2 x 6 = 12
1 x 1 x 12 = 12