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Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 24 inches and a height of 16 inches. How many times bigger is the volume of pyramid B than pyramid A?

Respuesta :

Answer:

volume of the square pyramid is:

V = s2h/3

where s=side length and h= height

for square pyramid A

h(a)= 8in and s(a)=12in

volume of square pyramid for A =

V(a)=s2(a) h(a)/3

V(a)=122 . 8/3 \implies⟹ 144 . 8/3 \implies⟹ 1152/3 \implies⟹ 384 in3

for square pyramid B

h(b)=24in and s(b)=36in

volume of square pyramid for B =

V(b)=s2(b) h(b)/3

V(b)=362 . 24/3 \implies⟹ 1296 . 24/3 \implies⟹ 31104/3 \implies⟹ 10368 in3

We want to know how many times the volume of pyramid B is bigger than pyramid A :

= V(b)/V(a)

=10368/384

= 27 times

Step-by-step explanation:

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