Question

The height of a square pyramid is 12 cm and it's slant height is 20cm. what is the length of it's base?

Answer 1

Step-by-step explanation:

Base edge =s=12cm

Slant height =l=10cm

Since the base of the pyramid is square,

Therefore, a=

2

diagonal

Diagonal of square of base 12

2

cm

a=6

2

cm

h=

10

2

−a

2

=

10

2

−6

2

2

=

100−72

=

18

=3

2

cm

Volume=

3

1

s

2

h=

3

1

×18×8=144

2

cm

3

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Answer 2

Answer:

For a square pyramid

Base edge =s=12cm

Slant height =l=10cm

Since the base of the pyramid is square,

Therefore, a=2diagonal

Diagonal of square of base 122cm

a=62cm

h=102−a2=102−622=100−72=18=32cm

Volume=31s2h=31×18×8=1442cm3