Question

A square pyramid of height 18 inches has a volume of 4050 cubic inches. If the volume of a similar square pyramid is 150 cubic inches, what is its height?

Answer 1

proportions again?

Answer 2

6

Answer 3

wah?

Answer 4

I got .6666666667

Answer 5

ehhh....

Answer 6

lolz?

Answer 7

The volume of a pyramid is 1/3 x area of base x height. But you do not strictly need this.

If you are comparing volumes of similar objects (of any type), then the ratio of the volumes is proportional to the cubes of corresponding sides.

Thus the ratio 4050 to 150 (which is 27) is proportional to the cubes of the heights, or the sides.
The heights are thus proportional to the cube root of 27, which is 3.
So one height of one pyramid is 3 times the height of the other.
So the height of the smaller pyramid is 6 inches.

Answer 8

ahhh...

Answer 9

in other words,...?

Answer 10

could you place it in simpler terms?

Answer 11

seahell/smarty?

Answer 12

ehh...

Answer 13

4050:150 = sides cubed.
since 4050:150 = 27 so does the sides cubed.
27 uncubed is 3 because 3x3x3=27
which means that the bigger pyramid is 3 times bigger than the smaller one.
so you divide the height by 3 . 18/3 to get the height of the smaller which is 6. understand?

Answer 14

now it makes sense, ty :D