A scale drawing of a spider is 5 centimeters long. The actual length of the spider is 4 inches. If one of the spiders legs is 4 cm in the drawing how long is the actual leg?
To find out the actual length of the spider's leg, we need to use the scale factor.
The scale factor is the ratio of the length in the drawing to the actual length.
In this case, the scale factor is calculated as follows:
Scale factor = Actual length / Length in the drawing
Length in the drawing = 5 cm
Actual length = 4 inches = 4 * 2.54 cm (since 1 inch = 2.54 cm)
Actual length = 10.16 cm
Now, we can calculate the scale factor:
Scale factor = 10.16 cm / 5 cm
Scale factor = 2.032
To find the length of the actual leg, we multiply the length of the leg in the drawing by the scale factor:
Actual length of the leg = Length of the leg in the drawing * Scale factor
Actual length of the leg = 4 cm * 2.032
Actual length of the leg = 8.128 cm
Therefore, the actual length of the spider's leg is approximately 8.128 cm.
First, we need to determine the scale factor from the drawing to the actual size:
1 inch = 2.54 cm
4 inches = 4 x 2.54 = 10.16 cm
Scale factor = actual size / drawing size = 10.16 cm / 5 cm = 2.032
To find the length of the spider's leg in actual size, we multiply the length of the leg in the drawing by the scale factor:
Actual length of leg = 4 cm x 2.032 = 8.128 cm
Therefore, the actual length of the spider's leg is 8.128 cm.