Question

2. The height of one square pyramid is 12 m. A similar pyramid has a height of 3 m. The volume of the larger pyramid is 400 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



(d) Volume of the smaller pyramid

Answer 1

Hey ms Ana c:
Sec thinking...

Answer 2

How do we get from the small height to the larger height?
What do you multiply to get from 3 to 12?

Answer 3

That would be 4

Answer 4

or 1/4 ??

Answer 5

Good good, it's 4 to get from the small to the big.
Oh yes yes, I guess I'm reading that backwards.

The ratio of the smaller to the bigger is 1/4,
because the smaller pyramid is 1/4 the size of the larger one.

Answer 6

yes okay next step?

Answer 7

http://prntscr.com/b2zekq

Answer 8

this is what i have so far

Answer 9

it doesnt make sense to me i probably did something wrong

Answer 10

Ooo your a, b and c look great! :)

Answer 11

really? what about the last one though its talking about the volume of the SMALLER pyramid. it doesnt make sense if its 25600 m^3

Answer 12

If the ratio of the small volume to the larger volume is 1/64,
then the small volume is 1/64th the larger volume.

\(\large\rm \frac{1}{64}\cdot400=?\)

Answer 13

6.25 :D is that the volume?

Answer 14

Yay good job \c:/

Answer 15

Thank you so much! <3 are you sure i did everything correctly and is there anything i need to change now?

Answer 16

Mmmm no everything looks great c:

Answer 17

wow thanks so much hehe have a great rest of your night

Answer 18

can u help with social studies