25. A scale drawing of a truck has a length of 3 inches (in.), as shown below. The actual truck has a length of 18 feet (ft). What scale was used for the drawing?
Answer: C
The scale used for the drawing is 1 inch = 6 feet.
The scale drawing of the truck indicates that 1 inch on the drawing represents 6 feet in actual length, which corresponds correctly to the given dimensions of the truck.
A) 6 in. = 1 ft
This option implies that 6 inches on the drawing would represent 1 foot in actual size. However, this is incorrect because the drawing shows a length of 3 inches, which would suggest an actual length of 18 inches, not the 18 feet required.
B) 1 in. = 15 ft
This scale means that each inch on the drawing would equate to 15 feet in real life. If this were true, a 3-inch drawing would represent 45 feet (3 inches x 15 feet/inch), which is significantly greater than the actual truck length of 18 feet.
C) 1 in. = 6 ft
This is the correct option, as it indicates that each inch on the drawing corresponds to 6 feet in reality. Therefore, a 3-inch drawing would accurately represent an actual truck length of 18 feet (3 inches x 6 feet/inch = 18 feet).
D) 15 in. = 1 ft
This scale indicates that 15 inches on the drawing would represent only 1 foot in real life. This is not applicable since the scale drawing measures only 3 inches, which would imply an unrealistic actual length much larger than 18 feet.
Conclusion
The correct scale of 1 inch = 6 feet accurately reflects the relationship between the drawing and the actual dimensions of the truck. All other options fail to provide a correct conversion that aligns with the given measurements, making them incorrect. Thus, understanding the scale is essential for interpreting the size of objects accurately in scale drawings.