Mathematica 2014

27

ܸ ଷ ൌ 1 3 ൈ ܽ ൈ ܾ ൈ ܿ ֜ ܸ ଵ ൌ ܸ ଶ ൌ ܸ ଷ ܸ ௉௬௥௔௠௜ௗ ൌ 1 3 ൈ VCuboid ൌ 1 3 ൈ ݎܣ ݁ܽ ஻௔௦௘

 ܸ ் ൌ ܸ ଵ ൅ ܸ ଶ ൅ ܸ ଷ ܸ ଵ ൌ ܸ ଶ ൌ ܸ ଷ

ൠ ֜

ൈ ܪ ݄݁݅݃ ݐ

3.2 Cone Place a cone next to a pyramid with the same base area on a plane.

׊ܳ צ ܲ

൬ h ൬ h

൰ 2 ൰ 2

צ P צ P

ื S 1 ื S 2

1 ื ื ൌ ܵ ଶ 2

S 1 ′ S 1 S 2 ′ S 2

ۙۖۘ ۖۗ

' ~ S

 Q Q

=

஼௔௩௔௟௜௘௥௜ ሳልልልልልሰܸ ଵ ൌ

֜ S 1 '

ൌ S 2 '

ܸ ଶ

H

' ~ S ܵ ଵ ֜

=

H

ܸ ஼௢௡௘ ൌ 1 3 ൈ ݎܣ ݁ܽ ஻௔௦௘ ൈ ܪ ݄݁݅݃ ݐ

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