Respuesta :
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
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