The base of a right triangular prism is an equilateral triangle. If the height is halved and each side of the base is doubled, find the ratio of the -Maths 9th

The base of a right triangular prism is an equilateral triangle. If the height is halved and each side of the base is doubled, find the ratio of the -Maths 9th
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1 : 2 Let each side of the base of the original prism be a units and the height of the prism be h units. Then  Required ratio = Vol. of original prismVol. of new prismVol. of original prismVol. of new prism = 3√4×(a)2×h3√4×(2a)2×h234×(a)2×h34×(2a)2×h2 = 2a2h4a2h2a2h4a2h = 1 : 2.
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