Question

Write each of the following scales as a ratio in the form of (1:x):

a. (1 , {mm} : 15 , {m})
b. (1 , {mm} : 50 , {m})
c. (2 , {cm} : 10 , {m})
d. (4 , {cm} : 1 , {km})
e. (5 , {cm} : 15 , {m})
f. (5 , {mm} : 10 , {m})

Answer 1

To convert the given scales into ratios in the form of (1:x), we need to find the value of x. The ratios for the given scales are: a. 1:1500, b. 1:5000, c. 1:50, d. 1:250, e. 1:30, f. 1:200.

Step-by-step explanation:

We will convert each scale into the ratio form 1:x. This involves converting all the measurements into the same unit and then forming the ratio where 1 represents the unit on the drawing or model, and x represents the corresponding number of units in the actual size.

• a. (1 mm : 15 m): Since there are 1,000 mm in 1 m, we multiply 15 m by 1,000 to get 15,000 mm. The ratio is 1:15,000.
• b. (1 mm : 50 m): Again, multiplying 50 m by 1,000 gives us 50,000 mm, so the ratio is 1:50,000.
• c. (2 cm : 10 m): Converting 10 m to cm, we have 10 m = 1,000 cm. Dividing by 2, we get the ratio 1:500.
• d. (4 cm : 1 km): There are 100,000 cm in 1 km, so the ratio is 1:25,000 after dividing by 4.
• e. (5 cm : 15 m): Converting 15 m to cm, we get 15 m = 1,500 cm. The ratio after dividing by 5 is 1:300.
• f. (5 mm : 10 m): Changing 10 m to mm, we have 10,000 mm, and dividing by 5 gives us the ratio 1:2,000.