Question

Fill in the missing dimensions. Round your answer to the nearest tenth

1. The scale factor for a model is 4 cm= ________ m
Model : 55.7 cm
actual: 265.4 m
2. The scale of a map is 1 ft = 15.9 mi
map: ________ ft
actual: 26.8 mi
3. The scale of a map is 9 m = 3 mi
map: 6.8 m
actual: ______ mi
4. The scale of a map is 2 km = 5 mi
map: 2.7 km
actual: ______ mi
5. The scale of a map is 1 ft = 13.7 mi
map: ________ ft
actual: 54.9 mi
6. The scale factor for a model is 4 cm= ________ m
Model : 55.7 cm
actual: 108.4 m
7. The scale of a map is 9 m = 2 mi
map: 6.8 m
actual: ______ mi
8. The scale of a map is 4 mm = 2 mi
map: 9.7 mm
actual: ______ mi
9. The scale factor for a model is 6 cm = ________ m
Model : 24.5 cm
actual: 146.8 m
10. The scale of a map is 1 m = 16.5 mi
map: ________ m
actual: 19.5 mi
11. The scale of a map is 6 ft = 6 mi
map: 4.9 ft
actual: ______ mi
12. The scale factor for a model is 10 cm = ________ m
Model : 60.5 cm
actual: 264.2 m
13. The scale of a map is 1 m = 17.6 mi
map: ________ m
actual: 65.2 mi
14. The scale of a map is 5 km = 4 mi
map: 8.5 km
actual: ______ mi
15. The scale factor for a model is 9 cm = ________ m
Model : 32.9 cm
actual: 204.3 m
16. The scale of a map is 1 m = 15.2 mi
map: ________ m
actual: 37.9 mi
17. The scale of a map is 3 ft = 9 mi
map: 9.2 ft
actual: ______ mi
18. The scale factor for a model is 5 cm = ________ m
Model: 64.9 cm
actual: 92.6 m
19. The scale of a map is 1 m = 10.2 mi
map: ________ m
actual: 42.8 mi
20. The scale of a map is 5 yd =7 mi
map: 8.6 yd
actual: ________ mi

Answer 1

(1) Ans: 19.1 m

Solution:


`(model)/(actual) = (4)/(x) \\ (55.7)/(265.4) = (4)/(x) \\ x = (4*265.4)/(55.7) \\ x = 19.1 m`

(2) Ans: 1.7 ft

Solution:


`(map)/(actual) = (1)/(15.9) \\ (x)/(26.8) = (1)/(15.9) \\ x = (1*26.8)/(15.9) \\ x = 1.7 ft`

(3) Ans: 2.3 mi

Solution:


`(map)/(actual) = (9)/(3) \\ (6.8)/(x) = (9)/(3) \\ x = (6.8*3)/(9) \\ x = 2.3 mi`

(4) Ans: 6.8 mi

Solution:


`(map)/(actual) = (2)/(5) \\ (2.7)/(x) = (2)/(5) \\ x = (2.7*5)/(2) \\ x = 6.8 mi`

(5) Ans: 4.0 ft

Solution:


`(map)/(actual) = (1)/(13.7) \\ (x)/(54.9) = (1)/(13.7) \\ x = (1*54.9)/(13.7) \\ x = 4.0 ft`

(6) Ans: 7.8 m

Solution:


`(model)/(actual) = (4)/(x) \\ (55.7)/(108.4) = (4)/(x) \\ x = (4*108.4)/(55.7) \\ x = 7.8 m`

(7) Ans: 1.5 mi

Solution:


`(map)/(actual) = (9)/(2) \\ (6.8)/(x) = (9)/(2) \\ x = (6.8*2)/(9) \\ x = 1.5 mi`

(8) Ans: 4.9 mi

Solution:


`(map)/(actual) = (4)/(2) \\ (9.7)/(x) = (4)/(2) \\ x = (9.7*2)/(4) \\ x = 4.9 mi`

(9) Ans: 36.0 m

Solution:


`(model)/(actual) = (6)/(x) \\ (24.5)/(146.8) = (6)/(x) \\ x = (6*146.8)/(24.5) \\ x = 36.0 m`

(10) Ans: 1.2 m

Solution:


`(map)/(actual) = (1)/(16.5) \\ (x)/(19.5) = (1)/(16.5) \\ x = (1*19.5)/(16.5) \\ x = 1.2 m`

(11) Ans: 4.9 mi

Solution:


`(map)/(actual) = (6)/(6) \\ (4.9)/(x) = (6)/(6) \\ x = (6*4.9)/(6) \\ x = 4.9 mi`

(12) Ans: 43.7 m

Solution:


`(model)/(actual) = (10)/(x) \\ (60.5)/(264.2) = (10)/(x) \\ x = (10*264.2)/(60.5) \\ x = 43.7 m`

(13) Ans: 3.7 m

Solution:


`(map)/(actual) = (1)/(17.6) \\ (x)/(65.2) = (1)/(17.6) \\ x = (1*65.2)/(17.6) \\ x = 3.7 m`

(14) Ans: 6.8 mi

Solution:


`(map)/(actual) = (5)/(4) \\ (8.5)/(x) = (5)/(4) \\ x = (8.5*4)/(5) \\ x = 6.8 mi`

(15) Ans: 55.9 m

Solution:


`(model)/(actual) = (9)/(x) \\ (32.9)/(204.3) = (9)/(x) \\ x = (9*204.3)/(32.9) \\ x = 55.9 m`

(16) Ans: 2.5m

Solution:


`(map)/(actual) = (1)/(15.2) \\ (x)/(37.9) = (1)/(15.2) \\ x = (1*37.9)/(15.2) \\ x = 2.5 m`

(17) Ans: 27.6 mi

Solution:


`(map)/(actual) = (3)/(9) \\ (9.2)/(x) = (3)/(9) \\ x = (9.2*9)/(3) \\ x = 27.6 mi`

(18) Ans: 7.1 m

Solution:


`(model)/(actual) = (5)/(x) \\ (64.9)/(92.6) = (5)/(x) \\ x = (5*92.6)/(64.9) \\ x = 7.1 m`

(19) Ans: 4.2 m

Solution:


`(map)/(actual) = (1)/(10.2) \\ (x)/(42.8) = (1)/(10.2) \\ x = (1*42.8)/(10.2) \\ x = 4.2 m`

(20) Ans: 12.0 mi

Solution:


`(map)/(actual) = (5)/(7) \\ (8.6)/(x) = (5)/(7) \\ x = (8.6*7)/(5) \\ x = 12.0 mi`