The height of the larger pyramid is 18 inches.
In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Two square pyramids are similar. the sides of the bases are 4 inches and 12 inches. the height of the smaller pyramid is 6 inches.
Let x be the height of the larger pyramid.
The height of the larger pyramid is;
[tex]\rm \dfrac{Base_1}{Base_2}=\dfrac{Height \ of \ small \ pyramid}{Height \ of \ large \ pyramid}\\\\\dfrac{4}{12}=\dfrac{6}{x}\\\\4 \times x=12\times 6\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18[/tex]
Hence, the height of the larger pyramid is 18 inches.
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