If the mass of the smaller pyramid is 2000 tons, calculate its vertical height.
2006-12-14 22:00:49 · 4 answers · asked by sanam9188 1 in Science & Mathematics ➔ Mathematics
The ratio of masses of the smaller to the larger pyramid is:
2000/16000 = 1/8
Assuming the two pyramids are similar, the ratio of heights should be (1/8)^(1/3) = 1/2.
The height of the smaller pyramid is 30m/2 = 15m.
2006-12-14 22:14:47 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋
Mass is proportional to volume, and volume is cube of linear dimension.
16000:2000::30m^3:x^3
or x^3=27000*2000/16000
or x= cube root of 27000/8
or 30/2 = 15 m
simpler way ratio of mass is 8
ratio of height will be 2
2006-12-15 06:48:03 · answer #2 · answered by sudhir49garg 2 · 0⤊ 0⤋
two things are missing in your problem. Specific gravity of the material of material. side of the base of the pyramid
2006-12-15 06:13:46 · answer #3 · answered by Venkateswaran A 2 · 0⤊ 0⤋
The vertical height would have to be 4.38 metres
2006-12-15 06:13:23 · answer #4 · answered by areyoustupid3214 5 · 0⤊ 0⤋