QuestionA surveying chain with 1000 links measures $0.0333 \mathrm{~km}$ . Find the length of one link in cm as a decimal.

Studdy Solution

STEP 1

Assumptions1. The total length of the chain is0.0333 km. The chain contains1000 links3. We need to find the length of a single link in centimeters

STEP 2

First, we need to convert the total length of the chain from kilometers to centimeters. We know that1 kilometer is equal to100,000 centimeters.
$Total\, length\, (in\, cm) = Total\, length\, (in\, km) \\times100,000$

STEP 3

Now, plug in the given value for the total length in kilometers to calculate the total length in centimeters.
$Total\, length\, (in\, cm) =0.0333 \\times100,000$

STEP 4

Calculate the total length in centimeters.
$Total\, length\, (in\, cm) =0.0333 \\times100,000 =3330\, cm$

STEP 5

Now that we have the total length in centimeters, we can divide this by the number of links (1000) to find the length of a single link.
$Length\, of\, a\, single\, link = Total\, length\, (in\, cm) / Number\, of\, links$

STEP 6

Plug in the values for the total length in centimeters and the number of links to calculate the length of a single link.
$Length\, of\, a\, single\, link =3330 /1000$

STEP 7

Calculate the length of a single link.
$Length\, of\, a\, single\, link =3330 /1000 =3.33\, cm$ The length of a single chain link is3.33 cm.

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