The volume of the pyramid = 1568 cube cm
Step-by-step explanation:
Given,
OA = 24 cm and OB = 25 cm
To find the volume of the pyramid
Formula
V = [tex]\frac{1}{3}[/tex] [tex]b^{2} h[/tex]
where b be the each side of square and h be the height
By Pythagoras theorem we get,
[tex]OB^{2} =OA^{2} +BA^{2}[/tex]
or, [tex]BA^{2}[/tex] = [tex]25^{2} - 24^{2}[/tex]
or, BA = [tex]\sqrt{49}[/tex]
= 7
Hence, each side =2 ×7 cm = 14 cm
Now,
V = [tex]\frac{1}{3}[/tex]×[tex]14^{2}[/tex]×24 cube cm
= 1568 cube cm
