A scale for a scale drawing is 10 cm:1 mm. Which is larger, the actual object or the scale drawing? Show work.
--I understand that the answer is 100 times larger since 10mm equals 1cm. BUT how do I show the work of how this is solved?
THANK YOU!
scale ratio = 100 mm / 1 mm = 100/1
A scale for a scale drawing is 10 cm:1 mm. which is larger, the actual object or the scale drawing? Explain.
The answer to that problem is...yeah i'm sorry i don't know. I only 7...): I need medical attention.... >_<
To show the work of how this is solved, we can use a ratio comparison.
The scale of the scale drawing is 10 cm: 1 mm.
We know that there are 10 millimeters in a centimeter, so we can convert the unit of measurement in the scale drawing.
10 cm = 10 cm × 10 mm/cm = 100 mm
Therefore, the ratio of the scale drawing is 100 mm: 1 mm.
Now, let's compare the actual object with the scale drawing. Since the ratio of the scale drawing is 100 mm: 1 mm, this means that the scale drawing is 100 times larger than the actual object.
So, the scale drawing is larger than the actual object by a factor of 100.
To show the work of how this is solved, you need to do a conversion between centimeters and millimeters.
Given that the scale for the scale drawing is 10 cm:1 mm, we can multiply both sides of the ratio by a conversion factor to convert cm to mm.
1 cm = 10 mm (since there are 10 millimeters in one centimeter)
So, multiplying both sides of the ratio by the conversion factor:
10 cm = 10 cm * 10 mm / 1 cm
Simplifying:
10 cm = 100 mm
From this conversion, we can see that 10 centimeters in the actual object is equal to 100 millimeters in the scale drawing.
Since the conversion factor is 10:1, it means that the scale drawing is 100 times smaller than the actual object.
Therefore, the actual object is larger than the scale drawing.