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

3 years ago

The area of a squared lawn and rectangular vegetable garden are equal.The perimeter of lawn is 24 m and its side is twice the br

rjkz [21]

Answer:

g=12

Step-by-step explanation:

4(2y)=24

8y=24

$y = \frac{24}{8}$

y=3

${4y}^{2} = yg$

Since we know the value of y we substitude

${4 \times 3}^{2} = 3g$

36=3g

g=12

6 0

2 years ago

Solve the system of 2x-5y+z=1 3 y+2z=5-24z=48

motikmotik

<span>A) 2x -5y +z = 1
B) 3 y + 2z = 5
C) -24 z = 48
Those 3 equations you typed were somewhat squished together.
Did I retype those correctly?
Let me know and I'll solve it.

</span>

8 0

3 years ago