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

✅ C. 32.92 oz

i got it right⬇

Answer 2

Answer:
`32.909\ \text{ounce}`

Explanation:

Given

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

Using unitary method

1 cm of a segment measures

`(61.40)/(3.25)=18.892\ gm`

`1\ cm\equiv 18.892\ gm`

converting cm to inch and gm to ounce

`(1)/(2.54)\ in.\equiv (18.892)/(28.3495)\ \text{ounce}\\\\1\ in.\equiv (18.892)/(28.3495)* 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}`

for 19.45 in., weight is

`\Rightarrow 19.45\ in.\equiv 1.692* 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}`