Question

Two square pyramids have equal volume. Base edge and height of the first pyramid are 12 cm and 20 cm respectively. If base edge of the second pyramid is 8 cm, what is its height?​

Answer 1

For a square pyramid

For a square pyramidBase edge =s=12cm

For a square pyramidBase edge =s=12cmSlant height =l=10cm

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,Therefore, a=2diagonal

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,Therefore, a=2diagonalDiagonal of square of base 122cm

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,Therefore, a=2diagonalDiagonal of square of base 122cma=62cm

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,Therefore, a=2diagonalDiagonal of square of base 122cma=62cmh=102−a2=102−622=100−72=18=32cm

For a square pyramidBase edge =s=12cmSlant height =l=10cmSince the base of the pyramid is square,Therefore, a=2diagonalDiagonal of square of base 122cma=62cmh=102−a2=102−622=100−72=18=32cmVolume=31s2h=31×18×8=1442cm3