Question

A wall is 11m 45mm long. What is the length of the wall in cm and mm?

Answer 1

Hint: To convert the length of the wall 11m 45mm long into cm and mm, we use the metric conversions from m to mm, m to cm and mm to cm respectively. These are the standard units of conversion and they are fixed, defined as per SI unit system.

Complete step by step answer:
As per the standard units of conversion, we know
1m = 100cm = 1000mm
1cm = 10mm
Given length = 11m 45mm
We know 1m = 1000mm
Hence length of the wall in mm is
L = (11x1000) +45
   = 11000+45
   = 11045mm
Length of the wall in mm is 11045mm
We know that 1m = 100cm and 1cm = 0.1 mm
Hence length of the wall in cm is
L = (11x100) +45 x 0.1
   = 1100+4.5
   = 1104.5cm

Length of the wall in cm is 1104.5cm

Note: In order to solve this kind of problems the key is to have a good knowledge in the metric conversions between Km, m, cm and mm. For example, If the question said km, we use the conversion for km, i.e. 1Km = 1000m = 100000cm = 1000000mm.
Also there are other daily usage conversions we need to be equipped with; such as conversion of volume, temperature, speed, weight etc. to be able to solve these problems.
We have to be very careful while solving, carefully calculate the number of zeros or the points after decimals to achieve accurate values.