We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be $8-x-x=8-2x$ and $10-x-x=10-2x$ .

The height of the box will be $x$ .

The volume of box will be area of base times height.

$\text{Volume of box}=(8-2x)(10-2x)\cdot x$

Now we will use FOIL to simplify our expression.

$\text{Volume of box}=(80-16x-20x+4x^2)\cdot x$

$\text{Volume of box}=(80-36x+4x^2)\cdot x$

Now we will distribute x.

$\text{Volume of box}=80x-36x^2+4x^3$

$V(x)=80x-36x^2+4x^3$

Therefore, the volume of the box would be $V(x)=80x-36x^2+4x^3$ .

6 0

2 years ago

Solve each inequality(x+4)(x-8)≥0

Stolb23 [73]

Answer: x

≤

−

≥

Step-by-step explanation:

8 0

2 years ago

Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items ca

MakcuM [25]

Answer:

recyclble materials include Milk bottles, news papaers and soda cans

the rest is compost

20 items is the total

13 are recycble

13/20 as a decimal is 0.65

multiply by 100

and answer is

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A recipe for scrambled eggs uses 2 tablespoons of milk for every 3 eggs

Goryan [66]

Answer:

2:3

Step-by-step explanation:

4 0

3 years ago