Question

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 48 inches and a height of 32 inches. How many times bigger is the volume of pyramid B than pyramid A?

Answer 1

@phi

Answer 2

the lengths in B are all 4 times bigger than the lengths in A

area of B will be 4^2 bigger
volume of B will be 4^3 bigger

Answer 3

Pyramid A is similar to Pyramid B.
The base edges are in a 12 to 48 ratio as are the respective heights 8 to 32, both of which simplify to 1/4.
If two solids are similar, the cube of the scale factor of the two solids is equal to the ratio of the volumes.
So, the ratio of the volumes of Pyramid A to Pyramid B is (1/4)³. When you crank that out, you will see how many times the volume of Pyramid B is with regard to Pyramid A.

Answer 4

Pyramid A Volume / Pyramid B Volume is (1/4)³ = ?
The question is not to find the volumes but to tell how many times larger the volume of Pyramid B is than that of Pyramid A.
It comes down to having each dimension multiplied by a factor of 4, volume being expressed in cubic units, and the product of 4 * 4 * 4.

Answer 5

Can you get the answer ?

Answer 6

64 ... ?

Answer 7

im confused .-.

Answer 8

yes 64

Answer 9

64 times bigger in vol

Answer 10

is the final answer 64 ? or i have to do something ? @Jim766

Answer 11

B is 64 times bigger (in volume) than A

Answer 12

How many times bigger is the volume of pyramid B than pyramid A? answer: 64

Answer 13

ohhhhh thanks :D

Answer 14

if you had the pyramids in front of you, it would be more obvious that B is much bigger than A

Answer 15

k ;p