Respuesta :
Volume is a cubic measurement.
Set up a ratio of volume to the ratio of the height:
100/v2 = 2^3/5^3
V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet
The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.
Volume of pyramid based problem:
What information do we have?
Ratio of heights of two similar pyramids = 2:5
Volume of smaller pyramid = 100 cubic feet
Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³
100 / Volume of large pyramid = 2³ / 5³
Volume of large pyramid = 125(100) / 8
Volume of large pyramid = 1,562.5 cubic feet
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