Question

Help asap please! On a deadline, posting below

Answer 1

The length of a box is 5 more than the width and the height is 2 less than the width. If the volume is equal to 150 cubic feet, what are the measurements for each side.

Answer 2

this was my answer
v = lw h
w = x
l = x + 5
h = x – 2

x(2 – 5)(x + 5) = 150

Answer 3

but my teacher said i found the variable but didnt list the length of sides, so i need to fix that

Answer 4

Yeah. You didn't complete it all the way

Answer 5

ok since you know the expression, just multiply out to solve for "w"
using your same w(w+5)(w-2)=150

Answer 6

what do you mean? @incomplte

Answer 7

Remember the question asks for the length of the sides. So we have to find, L, H, and W

Answer 8

I used W as the X in your eqns.
V=LWH
V=(W+5)(W)(W-2), but we already know V=150.
so 150=(W+5)(W)(W-2). Get it?

Answer 9

so lost

Answer 10

@incomplte

Answer 11

oh shoot

Answer 12

ok should i just use x as you did. Maybe that will make it easier to understand?

Answer 13

yeah lets try that

Answer 14

ok.so v = lwh
w = x
l = x + 5
h = x – 2. You understand up to this point?

Answer 15

yeah thats how i had it written

Answer 16

ok yeah, i just copied it and wanted to make sure you understood

Answer 17

since we know that v=lwh
we can also substitute l as (x+5), and w=x, and h=(x-2) into the equation above, and say v=(x+5)*(x)*(x-2). Do you understand this part?

Answer 18

okay, where would i put that?

Answer 19

with L?

Answer 20

i gotta get ready for work in a couple minutes. -_-

Answer 21

ok i don't think you are understanding. remember that L=(x+5), this means L and (x+5) are the same thing, so I'm just putting (x+5) into the equation in place of L, and doing the same thing with the other values

Answer 22

okay i got that part

Answer 23

ok so you understand v=(x+5)*(x)*(x-2)

Answer 24

yes

Answer 25

ok cool. remember that they already told us that v=150, so we can rewrite as
150=(x+5)*(x)*(x-2). Do you understand?

Answer 26

so far yes

Answer 27

ok cool. so now we can multiply out since everything on the right side is in terms of x, so we can say
150=(x^3 + 3x^2 -10). got it?

Answer 28

got it

Answer 29

cool so now we have to solve for x.
150=(x^3 + 3x^2 -10x). can you do that?

Answer 30

i really really have to go get ready now, can we continue this tomorrow? Because i miiiiiiiiight need help solving for x

Answer 31

@incomplte

Answer 32

@KendrickLamar2014

Answer 33

Let:

x = the length of the width, x>0

x + 5 = the length of the box

x - 2 = the height of the box

V = 150 ft^3 the volume

The volume of a box is: V = width*length*height

x(x + 5)(x - 2) = 150

x^3 + 3x^2 - 10x - 150 = 0

We notice that for x = 5 the x(x + 5)(x - 2) = 150 is true thus one solution is x = 5

x + 5 = 5 + 5 = 10 ft

x - 2 = 5 - 2 = 3 ft

The measurements for the box are: 5 ft, 10 ft and 3 ft.

Answer 34

Does this make sens @_ashleeey

Answer 35

yes thank you can you help with more? @KendrickLamar2014

Answer 36

I have to go, sorry I can help you later tho :)