Question

The measurement error at each edge of a rectangular box is 5%. Approximate error maximum possible when measuring the volume of the box.

Answer 1

Solution Let I be the length and h be the be the base of the box, b box. night of the Then e bh The bercentage error of the each sides of the box is 5. and its relative is erros de 0,059 l db b 1 oo 0.05 11 100 dh 5 0.05 h The approximate relative result in the calculation of the box erros of the that can volume dv bh dl lb dh & lbh + hl db lbh lbh V dh h di l db b + 0.05+ 0.05 + 0.05 - 0.15 . 15 % Thus the approximate percentage erron that result in the cakolation of the volume of the box is = 15). can