Answer:
The volume of pyramid B is 3.5 times greater than the volume of pyramid A
Step-by-step explanation:
The area of squared based a pyramid is given by:
[tex]Area = \frac{1}{3}*s*s*h[/tex]
Where 's' the length of the side of the base and 'h' is the height.
For pyramid A:
h= 100 m
s= 356/4 = 89 m
[tex]Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3[/tex]
For pyramid B:
h= 215 m
s= 456/4 = 114 m
[tex]Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3[/tex]
Pyramid B has a greater volume and the ratio between volumes is:
[tex]\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5[/tex]
