An open box is formed from a rectangular piece of cardboard whose length is 8 cm more than its width whose sides are 2 cm in length from each corner. Find the dimensions of the box if its volume is 360 cm^3.

Assume the length, width, and height of this box is l,w,and H.

So based on the card board's length is 8 cm more than its width,

I-8=w. (1)

And is the sides are 2 cm in length from each corner, h=2

Also, lwh=360. (2)

Input h=2 into (2), lw=360/2=180. (3)

Input w=l-8 to (3),

l (l-8)=180

l^2-8l-180=0

(l-18)(l+10)=0

l=18,

w=l-8=10

So the dimensions of the box are 18cm, 10cm, 2 cm.

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up