Question

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495 grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh

Answer 1

Answer: $32.909\ \text{ounce}$

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs $61.40\ gm$

Using unitary method

1 cm of a segment measures

$\dfrac{61.40}{3.25}=18.892\ gm$

$1\ cm\equiv 18.892\ gm$

converting cm to inch and gm to ounce

$\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}$

for 19.45 in., weight is

$\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}$