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Mathematics
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Oct 11th, 2014

2.    Surface Area 2(whhw) = 2(1*3 + 4*3 + 1*4) = 2(19) = 38

3.    height = 2 ft = 24         base = 24 inches

        A a^2a√(a^2/h^2) = (24)^2 + 2(24)√((24)^2/4 + (24)^2) = 1863.98

4.    d = 16 m       r = 8 m       slant height = 17.9 m           height = ?

        V =  1199.67 m3

        V = 1/3 * πr^2 * h 

        h = 3V/πr^2 = 3(1199.67) / (3.14)(8)^2 = 17.9 m = 18 m

5 .(a)        height = 11 km         area of base = 9 * 9 = 81 km^2

            Volume of the pyramid = Area of the base * Height * 1/3

            Volume of the pyramid = 81 * 11 * 1/3

            Volume of the pyramid = 891/3

            Volume of the pyramid = 297 km^3

(b)        d = 24 ft       r = 12 ft

            Volume = 4/3 π r3

            Volume = 4/3 * (3.14) * (12)^3

            Volume = 7234.56 ft^3

Oct 12th, 2014

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