Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Answer: C
Step-by-step explanation:
I’m pretty sure it’s c because x isn’t less than -2. It goes forever in the directions of positive and negative infinity
Answer:
57 square feet
Step-by-step explanation:
Split the boxes into two parts.
One box measuring 11.5 ft long and 3 ft wide. (Box A)
The second box measuring 7.5 ft long and 3 ft wide. (Box B)
Area (figure) = Area of box A + Area of box B
Area of box A
3 × 11.5 = 34.5 ft²
Area of box B
3 × 7.5 = 22.5 ft²
Area of figure = 34.5 + 22.5
Area of figure = 57 ft²
They are similar because of the color and they are different by the size and shape hope that helps you
