Answer: Formula used for pyramid is (V= 1/3 Bh SA: 1/2 P*l+B) Final answer is SA=110.4 V=64
Step-by-step explanation:
P= Perimeter
l= length
B= Base
To find the perimeter you add all the sides of the base. (4+4+4+4)=16
To find the length you can use Pythagorean Theorem which is a(squared) + b(squared) = c(squared) where c is the hypotenuse. [tex]2^{2}[/tex] + [tex]12^{2}[/tex]= [tex]x^{2}[/tex]
4+144=[tex]x^{2}[/tex]
164=[tex]x^{2}[/tex]
[tex]\sqrt{164}[/tex]=x
x=12.8
To find the base it will be l*w (4*4)=16
Then you plug it in the formula for SA which will be
SA=1/2 16*12.8+16
SA=110.4
For Volume, it will be
V=1/3 Bh
V= 1/3 16(12)
V= 64
