Question

(08.02 mc) 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? (4 points)

Answer 1

The volume of pyramid B is 8 times bigger than pyramid A given that both are square pyramid, where pyramid A is with a base side length of 12 inches and a height of 8 inches and pyramid B is with a base side length of 24 inches and a height of 16 inches. This can be obtained by finding volume of both pyramid and dividing both values.

How many times bigger is the volume of pyramid B than pyramid A?

Given that,

• pyramid A,

Base side length = 12 inches

Height = 8 inches

• pyramid B,  

Base side length = 24 inches

Height = 16 inches

• Volume of a square pyramid = a²h/3, where a is base side length, h is height of the square pyramid.

pyramid A volume = 12² × 8/3 = 384 in³

pyramid B volume = 24² × 16/3 = 3072 in³

The ratio of the two pyramids,

V(B)/V(A) = 3072/384 = 8

⇒V(B) = 8V(A)

Hence the volume of pyramid B is 8 times bigger than pyramid A given that both are square pyramid.

Learn more about square pyramids here:

brainly.com/question/218706

#SPJ4