Idiot\'s Guides Basic Math and Pre-Algebra

(Marvins-Underground-K-12) #1

320 Appendix A



  1. d = 6 feet, r = 3 feet, V^4
    3
    55 π?? 333 6 π^
    cubic feet

  2. V = 4500S cm^3 , r = 15 cm


Chapter 17



  1. Shaded area = area of large square –
    area of 2 white squares = 7^2 = 2™ 32 = 49 – 18
    = 31 square units.

  2. Shaded area = area of rectangle –
    area of two white strips adjusted for
    overlap of white strips =
    20 v 6 – (20 v 1 + 6 v 1 – 1 v 1) =
    120 – 25 = 95.

  3. Shaded area =^1 ⁄ 2 the area of large circle +


(^1) ⁄ 2 the area of small circle = 72S + 12.5S =
84.5S.



  1. Shaded area =


1
2 v^1 v 12 = 6.


  1. Flip one shaded section. Shaded area =
    1
    2 (BF + (AH + DE) v^ HI =


1
2 (18 + 16) v^5
= 85.


  1. ’A # ’X, ’B # ’Y, AB XY,
    'ABC # 'XYZ by ASA

  2. CT IN, ’A # ’W, ’C # ’I,
    'ACT # 'IWN by AAS

  3. BI MA, IG AN, ’B # ’M,
    'BIG and 'MAN cannot be determined.

  4. CA DO, AT OG, CT DG
    'CAT # 'DOG by SSS


4
3

4,500
4
3

4,500
4 13,500
3,375
15

3

3
3
3

r

r

r
r

r

5

5
5
5
5

π π


  1. h = 8 inches, d = 6 inches, r = 3 inches,
    SA = 2™ 32 ™S + 2™S™ 3 ™8 = 66S square
    inches, V = S™ 32 ™8 = 72S cubic inches.

  2. h = 2 m, C = 2S m, d = 2 m, r = 1 m,
    SA = 2™ 12 ™S + 2™S™ 1 ™2 = 6S m^2 , V = S™ 12 ™ 2
    = 2S m^3.

  3. h = 82 cm, d = 90 cm, r = 45 cm,
    SA = 2™ 452 ™S + 2™S™ 45 ™82 = 11,430S cm^2 ,
    V = S™ 452 ™82 = 166,050S cm^3.

  4. h = 20 inches, C = 20S inches,
    d = 20 inches, r = 10 inches,
    SA = 2™ 102 ™S + 2™S™ 10 ™20 = 600S square
    inches, V = S™ 102 ™20 = 2,000S cubic inches.

  5. r = 10 cm, h = 24 cm, l = 26 cm,
    SA = S™ 102 + S™ 10 ™26 = 360S cm^2 ,
    V^1
    3


5?π?? 10 24^25800 π cm^3


  1. d = 8 inches, r = 4 inches, h = 3 inches,
    l = 5 inches, SA = S™ 42 + S™ 4 ™5 = 36S
    square inches, V
    1
    3
    5?? ?ππ 43162 5 cubic
    inches

  2. C = 16S cm, d = 16, r = 8, h = 6 cm,
    l = 10 cm, SA = S™ 82 + S™ 8 ™10 = 144S cm^2 ,
    V
    1
    3
    5???ππ8 6 128^25 cm^3

  3. r = 12 inches, h = 5 inches, l = 13,
    SA = S™ 122 + S™ 12 ™13 = 300S square
    inches, V
    1
    3
    5 ?π??12 5^25240 π cubic inches

  4. A = 324S cm, r = 18 cm, h = 24 cm,
    l = 30 cm, SA = S™ 182 + S™ 18 ™30 =
    864 S cm^2 , V^1
    3
    55 π 18 24^2 ??? 2,592π cm^3

  5. r = 8 inches, SA = 4™S™ 82 = 256S square
    inches

  6. r = 12 cm, V^4
    3


5 π 123 5?? 2,304π cm^3


  1. d = 4 m , r = 2m, SA = 4™S™ 22 = 16S m^2

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