Question

(06.01 hc) pyramid a is a square pyramid with a base side length of 14 inches and a height of 6 inches. pyramid b has a volume of 3,136 cubic 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.

Answer 1

If the length of side of base is 14 inches and height is 6 inches of pyramid a then  the volume of pyramid a is 12.5% of pyramid b  and volume of pyramid a  is 8 times bigger than volume of pyramid b.

Given the length of side of base of pyramid a is 14 inches , height of pyramid a is 6 inches and volume of pyramid b is 3136 cubic inches.

We have to determine the percentage  and number of times that volume of b is bigger than volume of pyramid b.

Volume of a square pyramid=base area * height/3

Base area = Side * side

=14*14

=196 inches square.

Volume of pyramid a =196*6/3

=392 cubic inches.

Percentage=Volume of pyramid a / volume of pyramid b*100

=392/3136*100

=12.5%

Let the number of times be x.

So,

392*x=3136

x=3136/392

=8 times.

Hence the volume of pyramid b is 8 times bigger than volume of pyramid a and the percentage is 12.5%.

Learn more about volume at brainly.com/question/1972490

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