Question

The height of one square pyramid is 6 m.
A similar pyramid has a height of 12 m.
The volume of the smaller pyramid is 400 m^3
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.

Answer 1

what is the ratio of the heights?

Answer 2

1:2

Answer 3

i think

Answer 4

yes correct

Answer 5

that's the scale factor of small to large

Answer 6

so that solves a but what about b

Answer 7

you square each piece to get the scale factor of the areas

you cube each piece to get the scale factor of the volumes

Answer 8

so how do i find the area of the bases?

Answer 9

you cant find the area of either base on their own

but you can use the scale factor 1:2 to find the ratio of the areas

Answer 10

do i divide the height by the volume for the small triangle for the small triangles base area?

Answer 11

1:2

1^2:2^2 ... square each piece

1:4

Answer 12

the ratio of small to large, in terms of area, is 1:4

basically the larger pyramid has a base 4 times larger than the smaller pyramid's base

Answer 13

ohhhhhhhhh

Answer 14

thank you