Question

The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m^3
. Determine each of the following .

a.)Scale factor of the smaller pyramid to the larger pyramid in simplest form
b.)Ratio of the areas of the bases of the smaller pyramid to the larger pyramid
c.)Ratio of the volume of the smaller pyramid to the larger pyramid
d.)Volume of the smaller pyramid

Answer 1

can you show how you got the answer ?

Answer 2

well the linear scaling factor for the heights

larger : small
24 8

which becomes

3: 1

so the small pyramid is 1/3 the height of the large pyramid.

since you know the linear scaling factor, then the area scaling factor is

(1/3)^2 which means the scaling factor is 1/9

or the base area of the small pyramid is 1/9 of the large.

for volume, just cube the scaling factor...

(1/3)^3 = 1/27

so the volume of the small pyramid is 1/27 of the volume of the large pyramid.

so to find the volume of the small its

1/27 x 648

hope it helps

Answer 3

what about finding out the ratio , I'm confused on that one .