5th grade math question

[billdent]

Explain how to find the length, width, and height of a box given the following information:

• The area of the base of the box is 20 square inches.
• The perimeter of the base of the box is 18 inches.
• The volume of the box is 160 cubic inches

Please give me some help.

 

[MarkFL]

Let length l, width w, and height h all be measured in inches.

The first condition tells us:

\(\displaystyle lw=20\)

The second condition tells us:

\(\displaystyle l+w=9\)

The third condition tells us:

\(\displaystyle lwh=160\)

Using the first two conditions, you may determine a unique solution for l and w (I recommend substitution and recall you discard any possible negative roots as measures of length are taken to be non-negative), and then using this solution, h may be determined from the third condition.

Can you proceed?

 

[billdent]

Would you divide 160 into 20 with an answer of 8 for theheight?

 

[Deleted member 4993]

Would you divide 160 into 20 with an answer of 8 in. for the height? Yes

.

 

[billdent]

Thank you!!!!

 

[lookagain]

Would you divide 160 > > into < < 20 with an answer of 8 in.
for the height?

No, you would not. You would divide 160 by 20, or you would divide 20 into 160.

If you divide 160 into 20, then you would have 20/160.


Here is an example:

What is two divided into six? That means 6/2 = 3.

What is six divided by two? That means 6/2 = 3.

What is six divided into two? That means 2/6 = 1/3.