Sam makes a cube out of blue, red and yellow bricks in the ratio 3:4:8. He uses between 400 to 410 cubes. Calculate the exact number of cubes he has used. Explain your answer.

4 answers

I'm not really sure what to do to solve this.
the question seems incomplete

there is no perfect cube between 400 and 410
I think you are using "cube" in a non-mathematical way, I will assume you simply meant a rectangular block. If not, I agree with Scott.

Bricks used in the ratio of 3:4:8 or 3x:4x:8x for a total of 15x
15x = appr 400-410
x = appr 26.7 and 27.3
then x = 27

He used 3(27) blues, 4(27) reds and 8(27) yellows
or 81 blues, 108 reds and 216 yellows ----> 405 bricks total
a good solution that fits ... the "cube" isn't one