Answer:
140
Step-by-step explanation:
Please find the attachment.
Let x represent the side length of the squares.
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
and
.
The height of the box will be
.
The volume of box will be area of base times height.
![\text{Volume of box}=(8-2x)(10-2x)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%288-2x%29%2810-2x%29%5Ccdot%20x)
Now we will use FOIL to simplify our expression.
![\text{Volume of box}=(80-16x-20x+4x^2)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%2880-16x-20x%2B4x%5E2%29%5Ccdot%20x)
![\text{Volume of box}=(80-36x+4x^2)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%2880-36x%2B4x%5E2%29%5Ccdot%20x)
Now we will distribute x.
![\text{Volume of box}=80x-36x^2+4x^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D80x-36x%5E2%2B4x%5E3)
![V(x)=80x-36x^2+4x^3](https://tex.z-dn.net/?f=V%28x%29%3D80x-36x%5E2%2B4x%5E3)
Therefore, the volume of the box would be
.
Answer:
320 cm³
Step-by-step explanation:
none of the above
8 × 10 × 4
80 × 4
320 cm³
The first one: whole equation when move1 to the left, same with the second I believe