Question

An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.

Answer 1

Answer:

L= 6

W= 2

H= 2

Step-by-step explanation:

If the box is an oblong box, then that means the length is the longest segment. Also, the width and height will be smaller and equal.

So, the easiest way to get the answer is by doing elimination of the stuff that doesnt work.

So, we have 24, which has to be divided into 3 parts for LWH.

4x2x3= 24. BUT! the W and H arent the same!

8x1x3= 24 AGAIN the W and H arent the same.

6x2x2= 24, this is correct.

Answer 2

An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.

Given:
volume of 24 cubic feet

Required:
height

Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h

24 = l^3
l = 2.88 feet