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volume of pyrimid,scale factor, ratio

Algebra
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Apr 22nd, 2015

(a) The scale (applying to all dimensions since they are similar) is 6m/12m = 1/2 (the larger is larger by a factor of 2)

(b) Areas involve multiplying 2 dimensions, therefore the ratio of the areas is multiplying the scale factor by itself 1/2 X 1/2 = 1/4

(c) Volumes involves multiplying 3 dimensions therefore they scale as 1/2 X 1/2 X 1/2 = 1/8

(d) the volume of the larger pyramid is height X area/3 = 6X400/3 = 800 cubic inch. The volume of the smaller is

800X 1/8= 100 cubic inch




Apr 22nd, 2015

correction to (d)

the volume of the larger pyramid  400 The volume of the smaller is 400 X 1/8 = 50 cubic inch

Apr 22nd, 2015

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Apr 22nd, 2015
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Apr 22nd, 2015
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