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Elan Coil [88]
3 years ago
11

Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b

ase with a perimeter of 456 m and a height of 215 m. Which pyramid has the greater volume and by how many times as​ great? g
Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

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:

Area = \frac{1}{3}*s*s*h

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

Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3

For pyramid B:

h= 215 m

s= 456/4 = 114 m

Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3

Pyramid B has a greater volume and the ratio between volumes is:

\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5

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