60cm x 30cm x 15cm = 27,000
59.5 * 29.5 * 14.5 = 25,451
60.5 * 30.5 * 15.5 = 28,601
28601 - 25451 = 3,150
3150/2 = 1575
1575/27000 = .0583 = 5.8%
27,000 +/- 5.8 % * 27,000
Blocks of stone are cut to a nominal size of 60cm x 30cm x 15cm, where measurements are correct to the nearest centimeter. Find the range of values of the volumes of a block giving your answer in the form V± pV, where V is the nominal volume and p is the percentage.
What's the answer please?
2 answers
or, note that
.5/15 = 0.033333 = 1/30
.5/30 = 1/60
.5/60 = 1/120
1/30 + 1/60 + 1/120 = 7/120 = 0.0583 as above
when multiplying factors, add their relative errors
.5/15 = 0.033333 = 1/30
.5/30 = 1/60
.5/60 = 1/120
1/30 + 1/60 + 1/120 = 7/120 = 0.0583 as above
when multiplying factors, add their relative errors