Question

Help! Will give metal!
Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches. Use 3.14 for pi and round your answer to the nearest hundredth.

A. 4 inches

B. 8 inches

C. 16 inches

D. 24 inches
I know you're supposed to divide 128 by 6 but then what?

Answer 1

first and foremost and always, draw a picture

Answer 2

ok

Answer 3

there

Answer 4

you may have to click on it it's a bit small

Answer 5

alright, I'll let that pic slide. next what is the formula for volume of a square pyramid?

Answer 6

haha I had to do it on paint real quick sorry. The formula for the volume of a square pyramid is V=1/3(b)(h)

Answer 7

she left...

Answer 8

@FibonacciChick666

Answer 9

She came :))

Answer 10

nvm

Answer 11

yup!

Answer 12

alright so now, you have the height, the volume, and you are looking for b(which I THINK YOU MAY HAVE MISWRITTEN) BECAUSE WHAT DOES THAT b stand for?

Answer 13

sorry caps lock

Answer 14

it stands for the base of the pyramid

Answer 15

it does not, actually, use this awesome song to help you find out what it does stand for :D
https://www.youtube.com/watch?v=xHQHuWZBZlY

Answer 16

k watching it

Answer 17

kk

Answer 18

it has V=Bh, but same gist

Answer 19

oh ok it stands for area of the base

Answer 20

yup yup awesome song right????
I love it!

Answer 21

haha ya

Answer 22

so what does the area of the base = in this case?

Answer 23

hmm I'm not sure the problem has 3.14 in it but I'm not sure what that's used for

Answer 24

either

Answer 25

well, what is the area of a square?

Answer 26

and that's extraneous info

Answer 27

Sorry google chrome crashes on my computer sometimes so that's why it took me so long to reply. The area of a square is the base * the height correct?

Answer 28

@FibonacciChick666

Answer 29

no

Answer 30

draw a square

Answer 31

lbel the sides some variable, then tell me the area

Answer 32

s^2?

Answer 33

alright so now, what is the area of the base of a square pyramid if the side lingtgh is b?

Answer 34

length*

Answer 35

then what is our new formula for volume?

Answer 36

s^2 since the base of a square pyramid is a square? so would it be V=1/3(s^2)(h)

Answer 37

yup yup

Answer 38

so now plug in your values and solve for s

Answer 39

128in^3=(s^2)(6).. divide both sides by 6 so now 21.33=(s^2) but then what? I don't know what's next do i subtract, add, divide? I'm really confused.

Answer 40

how do you undo s times s aka s^2?

Answer 41

divide

Answer 42

so i dived 21.33 by 2?

Answer 43

divide*

Answer 44

no, you use something called a square rtoot

Answer 45

root*

Answer 46

√(s^2)=s

Answer 47

mmk

Answer 48

21.33=s

Answer 49

but that's no in any of the answers

Answer 50

not*

Answer 51

@FibonacciChick666

Answer 52

am I supposed to add 3.14 now?

Answer 53

yup

Answer 54

no

Answer 55

i told you you don't need pi

Answer 56

I don't know math is very hard for me. I'm doing my best sorry

Answer 57

you did the problem. The answers and question do not match up however

Answer 58

OH WAIT, you forgot the 1/3

Answer 59

xD i forgot about it too

Answer 60

currently you have 128/6=1/3 *s^2

Answer 61

divide by 1/3 is the next step right?

Answer 62

yea

Answer 63

ok I did that before but i wasn't sure since it equals 7.1 and that's not on the list so the closest answer to it is 8

Answer 64

128/2=64 right..?

Answer 65

yes

Answer 66

you miscalculated check your work

Answer 67

it's an even answer

Answer 68

a whole number

Answer 69

128/6= 21.3/3=7.1 what am I miscalculating

Answer 70

that isn't dividing by 1/3 that's multiplying by it

Answer 71

i get 64 but that not on the list

Answer 72

or that's what my calculator says anyways

Answer 73

64=?

Answer 74

you are still solving for s...

Answer 75

i know I divide 21.3 by 1/3 and i get 64

Answer 76

k I'm super lost now nvm I give up thanks for trying to help me I'll still give you a medal though

Answer 77

if anyone checks this Question out cause they're doing homework or what not just know the answer isn't 24.

Answer 78

no, but stop you are so darn close

Answer 79

you divided what by 1/3 why? what were you solving what were you getting by itself?

Answer 80

i divided 21.33 by 1/3

Answer 81

getting s by itself

Answer 82

so what does 64 =? what was the other side what was left over there?

Answer 83

64=s?

Answer 84

remember we were solving 128/6=1/3 *s^2

Answer 85

yes ok so 128/6/one third=s^2

Answer 86

s^2 is still left

Answer 87

yea

Answer 88

so 64=s^2

Answer 89

now s=?

Answer 90

divided 64 by 2?

Answer 91

well s^2

Answer 92

no, remember how do you undo a square?

Answer 93

sqrt

Answer 94

yup

Answer 95

find the sqrt of 64 or s^2

Answer 96

both

Answer 97

sqrt of 64 is 8