Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

The actual length of a painting was 2m .What is its length in the photograph, if the scale used is 1mm: 20cm.

Answer
VerifiedVerified
475.8k+ views
1 likes
like imagedislike image
Hint: To find the length of the painting in the photograph first convert the 2m in terms of centimeter and try to relate the length using the scale given in the question which is 1mm: 20cm.
That is, convert the quantity 2m in terms of cm than in terms of mm (using the given scale).

Formula Used:
Here we will use the relation between the metric prefixes.
That is,
1m=100cm
For converting cm into mm we will use the reference scale which is given in the question that is 1mm: 20cm.

Complete step-by-step answer:
In the question it is given that the actual size of painting was 2m.
The scale of the photograph is also given
That is,
 1mm=2cm
We will take this scale as our reference to find out the length of painting in the photograph.
We know that,
1m= 100 cm
2m= 200cm
Now,
 According to the given scale,
2cm= 1mm,
  1cm = (1/2)mm
1cm= 0.5mm
200cm= 200 × 0.5 mm
200cm= 100mm {200 × 0.5= 100.0}
2m=200 cm = 100mm
the length of the painting in the photograph according to the given scale (2cm= 1mm) is equal to 100mm.

Additional Information:


Symbol Factor
TeraT1012
Giga G109
MegaM106
KiloK103
Hectoh102
Decada101
Decid101
Centi c102
Milli m103
Micro µ106
Nano n109
Pico p1012


Note: The knowledge of the metric prefixes and their symbols is important for students to solve this question. Their relation with each other is also required to answer this question.