Question

Help finding the volume of a pyramid.

Answer 1

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 3136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

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So, we would find the volume of the first pyramid, then divide it by the second pyramid's volume?

Answer 2

\[v = a^2\frac{ h }{ 3 }\]

Answer 3

find the vol of A and divide that into 3136

vol = ⅓ area of base times height

Answer 4

square pyramid with a base side length of 14
means its base is a square. area is 14*14

Answer 5

⅓ of height = ⅓ of a height of 6 inches= 2

Answer 6

v = (14 * 6)/3

Answer 7

almost. you need the area of the base (not just 1 side)

Answer 8

V = (14^2 * 6)/3

Answer 9

Which would be 392

Answer 10

may I help?

Answer 11

if you have a calculator you can evaluate and divide into 3136
if you do it by hand it is easier to do this
\[ \frac{3136}{14\cdot 14 \cdot 2}= \frac{1568}{14\cdot 14}= \frac{784}{7 \cdot 2 \cdot 7}= \frac{392}{7\cdot 7} = \frac{56}{7}= 8 \]

Answer 12

a pyramid with cube base with adges measure 25 centimeters and has perpendicular of 0.1 meters, calculate total volume of the structure in litres
I assume you mean a square base. 2.0833 litres. If this is homework, be sure to show your work.

Answer 13

Alright. So now it's asking us to put it in a percent. We would do that by moving the decimal place two points to the right.

800.00%, right?

Answer 14

yes, 800%

Answer 15

Thank you, @phi , I appreciate it.

Answer 16

yw

Answer 17

good thesis phi so I medal you.