Advanced Math If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?

texelaare 2020-12-27 Answered
Advanced Math
If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?
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Expert Answer

FieniChoonin
Answered 2020-12-28 Author has 102 answers
The volume of both pyramids.
The volume of the square pyramid is V=13a2h where a is a one side length of the square of base of the pyramid.
suppose assume that a=10, h=10.
The volume of the pyramid is
V=1310210
=13(1000)
=333.333
suppose height increase 60% and reduce the length of an arm of a square is reduced by 35%.
h1=10+60100(1)
=16
a1=1035100(10)
=6.5
Volume of new pyramid is computed as follows,
V1=13(6.5)216=13(42.25)16
=225.333
Here, the new volume decreases, the difference of volume is,
VV1=333.333225.333
=108
Thus, the new volume decreases 108 units.
Compute the size of pyramid decreases
VV1V×100=108333.333×100
=0.3240003×100
=32.4
Therefore, the size of new pyramid decreases 32.4%.
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