Question

You have a rectangular piece of cardboard that is 6 feet long and 5 feet wide. You want to make a box, so you cut out squares

Answer 1

Answer:

$(6-2x)(5-2x)(x)=10$

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x -----> the edges of the squares in feet

we know that

The volume of the box is equal to

$V=LWH$

we have

$L=(6-2x)\ ft\\W=(5-2x)\ ft\\H=x\ ft$

$V=10\ ft^3$

substitute and solve for x

$10=(6-2x)(5-2x)(x)\\10=(30-12x-10x+4x^{2})(x)\\10=(30x-22x^2+4x^{3})\\4x^{3}-22x^{2} +30x-10=0$

therefore

The equation that you would use to solve for x is

$(6-2x)(5-2x)(x)=10$