Question

6.7 The length of base edge of a square pyramid is 12 centimetres and slant height is
(a) What is the height of the pyramid ?
(b) Calculate the volume of the pyramid.​

Answer 1

answer ⤵️

For a square pyramidBase edge =s=12cm

Slant height =l=10cm

Since the base of the pyramid is square,Therefore, a= diagonal/2

Diagonal of square of base is

$12 \sqrt{2} \: cm$

$a = 6\sqrt{2}$

$h \: = \sqrt{ {10}^{2} + {a}^{2} }$

$= \sqrt{ {10}^{2} - 6 \sqrt{ {2}^{2} }^{2} } }$

$\sqrt{100 - 72 }$

$= \sqrt{18}$

Volume= 1/3s square h

=1/3*18*18

$144 \sqrt{22}$

Hope itz help you....

Answer 2

Answer ⤵️

$144\sqrt{22}$

hope it's help you