Question

How would i start this off?
2. The height of one square pyramid is 12 m. A similar pyramid has a height of 9 m. The volume
of the larger pyramid is 64 m3. Determine each of the following, showing all your work and
reasoning:
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

scale factor smaller to larger = 1: 12/9

Answer 2

Oh i see you take the smaller height and larger height

Answer 3

Do you reduce after that too because it says simplest form?

Answer 4

yes i guess it would be better to write it as 9:12 - now divide both numbers by 3 to give 3:4

Answer 5

I see

Answer 6

now the ratios of the area will be the squares of these number
3^2 : 4^2

Answer 7

So it's the simplest form of the scale factor and then you square those numbers

Answer 8

yes - i leave you to work out the squares

then the volume ratio will be

3^3 : 4^3

Answer 9

Oh okay. Ya i can do the squares.

Answer 10

to find the volume of the smallest pyramid you can wirite 2 fractions