Example Problems Answers

1.                   h2 + 62 = 102    h = 8ft
Lateral area = (3.14)(6)(10) = 188.4 ft
Surface area = (3.14)(6)(10)+(3.14)(62)=301.44ft2
Volume = (1/3)(3.14)(62)(8) = 301.44ft3

2. Perimeter of base = 2(22)+2(30) = 104in
Area of base = (22)(30) = 660 in2
Lateral area = (104)(34) = 3536 in2
Surface area = (104)(34)+2(660) = 4856in2
Volume = (660)(34) = 22440in3


 

3.  Lateral area = 2(3.14)(7)(20) = 879.2m2
Surface area = 2(3.14)(7)(20)+2(3.14)(72)=1186.92m2
Volume = (3.14)(72)(20)= 3077.2m3

4. Surface area = 4(3.14)(82) = 803.84in2
Volume = (4/3)(3.14)(83) = 2143.57in3

5.      height = h + 12 = 20    h = 16cm
Perimeter of base = 2(24)+2(22) = 92cm
Area of base = (24)(22) = 528cm2
Lateral area = (1/2)(92)(20) = 920cm2
Surface area = (1/2)(92)(20)+528=1148cm2
Volume = (1/3)(528)(16)2816cm3

6.        Perimeter of base = 9+12+15 = 36in
Area of base = (1/2)(9)(12) = 54in2
Lateral area = (36)(38) = 1368in2
Surface area = (36)(38)+2(54) = 1476in2
Volume = (54)(38) = 2052in3