Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.
2 answers:
The Volume of Pyramid B is <u><em>222.6% bigger</em></u> than the volume of Pyramid A .
<em><u>Recall:</u></em>
The volume of a square pyramid is given as: Where, a = base edge; h = height
<u><em>Thus:</em></u>
Given that Pyramid A has: a = 18 inches; h = 9 inches
Volume =
Volume of Pyramid A = 972 in.³
Volume of Pyramid B = 3,136 in.³
Difference in Volume of both pyramids = 3,136 in.³ - 972 in.³ = 2,164
This means that: (Pyramid B is 222.6% bigger than Pyramid A)
Learn more about volume of pyramid here:
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Answer:
the volume if a square pyramid is V=a2 h/3 ( A = base edge, H = height)
The pyramid has 18 inch of base side length and 9 inches in height.
thus V = 182 (9/3)
V= 324(3)
V= 972
Volume of pyramid B: 3,136.
3,136 - 972 = 2,164
To find the percentage of these numbers, we must divide them into each other and then multiple them by 100.
2,164/ 972 x 100
2.22633744856 x 100
= 222.633744856
Pyramid A is 222.6% bigger than pyramid A
Step-by-step explanation:
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