Math Problem?

Question

Suppose you are building a storage box of the volume 4368 in3. The lenght of the box will be 24 in. The height of the box will be 1 in more than its width. Find the height and width of the box.

Anyone know the answer?

Answer 1

V = l * w * h
l = 24 in
h = 1 + w

4368 = 24(1 + w)w
182 = w + w^2
w = 14
h = 13

Answer 2

Volume = width * length * height

4368 = x * 24 * (x+1)
4368/24 = x * 24 * (x+1)/24 The * 24 and /24 cancel each other out.
182 = x * (x+1)
= x * x + x

So that means a certain number squared plus itself = 182.

Using guess and check, it's reasonably easy to determine that x (the width) is 13.

To check this:
24 * 13 * 14
=4368

Answer 3

Volume=length x width x height

Fill in the info that you've got:

4368= 24xWxH

Working backwards, you'd divide the Volume by the length:

182=WxH

Since the height is so similar to the width, the best place to start is by finding the square root of 182, which is a 13.(a lot of decimal places...)
so, logic says the first thing you should try is 13x14... which happens to be the right answer there.

So...
W=13"
H=14"

Answer 4

length X width X height = 4368 ; length = 24
then width X height = 4368 / length = 4368 / 24 = 182
Since the height is 1 inch more than the width, we need two consecutive numbers whose product is 182. It is easy to check that 14 X 13 = 182, so the answer is : 14 inches high by 13 inches wide.

Answer 5

The formula for volume is length x width x height, so...

volume = 4368in cubed
length = 24
width = w
height = w + 1 (height will be 1 more than its width)

Now set it up...

24w(w+1)=4368
Solve for w and then substitute into w+1 to find the height.

Answer 6

I think either height and width are the same or length and width are the same....that might help.

Answer 7

hight is 14 inches and the width is 13

Answer 8

yeah, what they all said...