Question

The volume of a box is 120cm^3. If the width of the box is 4m, and the height is 1m less than the length, find the height of the box

Answer 1

Stuck on this..

Answer 2

let height = h
then length = h+1
width = 4
Volume = height * length * width

Answer 3

convert dimensions in metres to cm also.

Answer 4

Sorry, but can ya help a bit further? Im in independent studies and im having trouble w/ this.. ._.

Answer 5

30cm^3=h^2+h?

Answer 6

yes, can you find 'h' from there , solving quadratic equations ?

Answer 7

Uhm.. I did it a bit further .. h^2+h-30cm^3=0

Answer 8

But im lost because you said to convert to cm

Answer 9

yes, do conversions afterwards, first solve for h
h^2+h-30 =0
now can you tell me 2 numbers with product = -30 and sum =1 ?

Answer 10

6 and -5

Answer 11

good! can you solve that by factoring ?

Answer 12

The wording is the part I always get lost. I simplified and got... (h+6)(h-5)=0

Answer 13

yes, so, h=-6,5
but can the height be negative ??
so h=...?

Answer 14

H=6? Or is it possible to make the 5 positive? Lol

Answer 15

(h+6)(h-5) =0
h+6=0, h-5=0
h=-6 , h=5
h can't be -6 because height can't be negative.
so, h=5
got this ?

Answer 16

Oh! I see, yes I do

Answer 17

Wow forgot for a sec there.. Hah.

Answer 18

So 5 would be my only answer?

Answer 19

oh, wait, we didn't convert dimensions to cm before! sorry...
let height = h cm
then length = h+100
width = 400 cm
120 = h(h+100)*400

Answer 20

h^2+100h+280?

Answer 21

+280=0*

Answer 22

Forgot to add 0 there

Answer 23

h^2+100h = 120/400 = 0.3
weird question....can you verify it once ?

Answer 24

Yep .3

Answer 25

But wait, wouldnt it be divided instead by 120 to leave a 0?

Answer 26

Or rather subtract? Thats what I did and thats how I got 280