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Mathematics
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Oct 11th, 2014

(c)    height = 12 ft       length = 9 ft      width = 5 ft

         Volume of pyramid = Length_of_base * Width_of_base * Height * 1/3

         Volume of pyramid = 9 * 5 * 12 * 1/3

         Volume of pyramid = 540 / 3

         Volume of pyramid = 180 ft^3

(d)     Volume = length * width * height

         Volume = 9 * 6 * 3 = 162 inch^3

(e)    d = 20 in     r = 10 in     height = 20 in 

         Volume = 1/3 * pi * r^2 * h

         Volume = 1/3 * (3.14) * (10)^2 * 20

         Volume = 2093.3 inch^3

6.     Volume = 300 cm^3          height = 20 cm      r = ?

        Volume = 1/3 * pi * r^2 * h

 now         r = √3V/pi*h

                 r = √3 * 300 / 3.14 * 20

                 r = √ 14.331

                 r = 1.95 cm

7.          d = ?          Volume = V = 660 mm

            volume = 4/3 π r3

            r = [3V / 4π]^1/3

            r = [3(660) / 4(3.14)]^1/3

            r = [157.6433]^1/3

           r = 5.40 mm = 6 mm

           d = 2*r = 2*(6) = 12 mm

8.    length = 36 ft     height = 10 ft     --->   area = 36 * 10 = 360 ft^2 

       number of walls = 2     now 

        total area = 360 + 360 = 720 ft^2

       length = 28 ft     height = 10 ft    --->   area = 28 * 10 = 280 ft^2 

       number of walls = 2     now 

       total area = 280 + 280 = 560 ft^2

   now    1 bundle of siding covers 30 ft^2 and costs $150 + 5% = $150.05      then

Now      Total area of all walls = 560 + 720 = 1280 ft^2

  Now        30 ft^2 = 1 bundle

                  1280/30 = 42.7 bundle

     now        1 bundle = $150.05

   then          42.7 bundle = 42.7 * $150.05    =    $6407.135

Hence the total cost is $6407.135.

Oct 12th, 2014

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