7th Grade Math

Selected Answers and Solutions R35

Selected Answers and Solutions

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250,000 m^3 = 250,000 m^3 ·

1.331 yd^3

_

1 m^3

Multiply.

= 250,000 ·

1.331 yd^3

_ 1

Divide out

common units,

leaving the

desired unit,

square yards.

= 332,750 yd^3 Simplify.

The swimming pool has a volume of 332,750 yd^3.

43. Sample answer: He would have to divide 169
    square feet by 9 since there are 3 feet in each yard,
    and he was converting to square yards. 45. He
    should have multiplied by the reciprocal;
    14,929,920 in^3. 47. B 49. G 51. 35.2 53. 0.2


44. peaches

Pages 650–651 Lesson 11-2A PSI

1. Sample answer: Making a model helps you to see
   what is happening in the problem which can help
   you solve it.


2. 9 in. × 10 _^12 in. 5. yes; 1,900 + 2,100 + 1,600 > 5,000

77

(^) 45.50 - 5(2.75) - 14.95 + 10.00 (^) Write an
expression.
= 26.80 Simplify.
At the end of the week, Myra has $26.80.

9. 125 16 _^7 ft^2 11. Sample answer: How many feet
   of chrome edging do you need to fi nish a tabletop
   that is 54 inches long and 30 inches wide? 14 ft

2.5 ft

4.5 ft

Pages 657–659 Lesson 11-2C

1. 1,715 in^2 3. 15.7 cm^3 5. 11,700 in^2
   77 S.A. =^280 ×^ (^ 1.4_ 1 )^

(^2) Multiply by the square of the
scale factor.
= 280 × 1.96_ 1 Square _1.4 1.
= 548.8 Simplify.
The surface area of the larger box is 548.8 square
inches.

9. 19 mm^3 11. 251,712 ft^2 ; 8,709,120 ft^3
   1313 V = 126.9 ×^ (^ _^43 )^

(^3) Multiply by the cube of the scale
factor.
V = 126.9 × ^6427 Cube ^43.
V = 300.8 Simplify.
The volume of the larger sphere is 300.8 m^3.

15. sometimes 17. never 19a. 3 : 1 19b. surface
    area, 9 : 1; volume, 27 : 1 19c. 602.88 cm^2
    19d. 30,520.8 cm^3 21a. Yes, the ratios 63 and 1.5 3 are
    equal. 21b. 7.065 in^3 ; 56.52 in^2 21c. 1:8
    21d. 49.455 in^3 23. C 25. 7.5 cm

Pages 662–665 Chapter Study Guide and Review

1. dimensional analysis 3. metric system 5. gram


2. kilogram 9. 8 11. 3 13. 5.7 mi 15. 1,825


3. 24,000 19. 1,020 grams 21. 51,528.96


4. 18.43 25. about 345 lb 27. 1.76 29. 2.24


5. 0.23 m/s 33. 3,000 35. 0.58 37. 37.8 ft^2


6. 120 ways 41. S.A. = 201.2 in^2 ; V = 176 in^3

R01_R42_EM_SelAns_895242.indd R35 2/1/10 1:55 PM