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QuestionA 1 m wire is cut into 5 parts of 150 mm each. Find the remaining length in cm.

Studdy Solution

STEP 1

Assumptions1. The total length of the wire is1 meter. The wire is cut into5 parts, each of length150 mm3. We need to find the remaining length of the wire in cm

STEP 2

First, we need to convert the total length of the wire from meters to millimeters because the lengths of the parts are given in millimeters.
1 m=1000 mm1\,m =1000\,mm

STEP 3

Now, calculate the total length of the5 parts by multiplying the length of one part by the number of parts.
Total length of parts=Number of parts×Length of one partTotal\, length\, of\, parts = Number\, of\, parts \times Length\, of\, one\, part

STEP 4

Plug in the given values for the number of parts and the length of one part to calculate the total length of the parts.
Total length of parts=×150 mmTotal\, length\, of\, parts = \times150\,mm

STEP 5

Calculate the total length of the parts.
Total length of parts=5×150 mm=750 mmTotal\, length\, of\, parts =5 \times150\,mm =750\,mm

STEP 6

Now that we have the total length of the parts, we can find the remaining length of the wire by subtracting the total length of the parts from the total length of the wire.
Remaining length=Total length of wire−Total length of partsRemaining\, length = Total\, length\, of\, wire - Total\, length\, of\, parts

STEP 7

Plug in the values for the total length of the wire and the total length of the parts to calculate the remaining length.
Remaining length=1000 mm−750 mmRemaining\, length =1000\,mm -750\,mm

STEP 8

Calculate the remaining length of the wire in millimeters.
Remaining length=1000 mm−750 mm=250 mmRemaining\, length =1000\,mm -750\,mm =250\,mm

STEP 9

Finally, convert the remaining length from millimeters to centimeters because the problem asks for the answer in centimeters.
 mm=. cm\,mm =.\,cmRemaining length=250 mm×.Remaining\, length =250\,mm \times.

STEP 10

Calculate the remaining length of the wire in centimeters.
Remaining length=250 mm×0.=25 cmRemaining\, length =250\,mm \times0. =25\,cmThe remaining length of the wire is25 cm.

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