Question

MEDAL & FAN ANYBODY ?
A bird house is in the shape of a square pyramid. If the volume is 180 cubic inches, how tall is the bird house if the area of the base is 9 square inches?
a. 60 inches b. 21 inches c. 22 inches d. 23 inches

Answer 1

@sleepyjess

Answer 2

ok so volume of a square pyramid is \(a^2\dfrac{h}{3}\) where a is the base edge. they tell us that 9 is the area of the base not just the edge which means that it has already been squared

Answer 3

following that part of it?

Answer 4

@sleepyjess yes

Answer 5

sorry i had to restart my computer because the internet wasnt working

Answer 6

ok so now we have \(180=9\dfrac{h}{3}\) since you are multiplying the right side by 9 now you are going to divide both sides by 9 to get rid of 9 which leaves you with \(20=\dfrac{h}{3}\) since you are dividing by 3 what do you think you will do to get rid of 3?

Answer 7

you still here? @ninaesb

Answer 8

divide 20 by 3 ? @sleepyjess

Answer 9

no you are dividing h by 3 so since you are originally dividing you want to do the opposite

Answer 10

so divide 3 by h so then it would be 20=3h ?

Answer 11

so now you multiply both sides by 3 leaving you with ?=h

Answer 12

@sleepyjess

Answer 13

no if you multiply 3*h/3 the 3's cancel out so you have 20*3=h

Answer 14

@sleepyjess so its 60 ?

Answer 15

yes

Answer 16

thankyou @sleepyjess

Answer 17

if you want you can test it \(9\dfrac{60}{3}\) 9*20 180