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The base edges of two square pyramids are in the ratio 1:2 and their heights in the ratio 1:3. The volume of the first is 180 cubic centimetres. What is the volume of the second? |
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Answer» a1 : a2 = 1: 2 = x : 2x, h1 : h2 = 1:3 = y : 3y Volume of 1st pyramid = \(\frac{1}{3}\times x^2\times y=180\) Volume of 2nd pyramid = \(\frac{1}{3}\times(2x)^2\times 3y=\frac{1}{3}\times 12\times x^2y\) = \(12\times\frac{1}{3}x^2y=180\times12=2160\) cm2 |
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