Answer:
1872 cm^3
Step-by-step explanation:
To solve this you can split the shape into two parts, the large rectangle with length 18 and width 8, and the small rectangle with length 6 and width 3.
So now apply the volume formula,
for the larger shape,
V = Area * height
V = L*W *H
V = 18*8*12
The volume of one part is 1728.
Now for the second shape on top,
V = L*W*H
V = 6*8*3 = 144
Now add the two, 1728+ 144 = 1872
1872 cubic centimeters
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
Step-by-step explanation:
kinda just need points soooooooooo sorry hope you get it <3
40=4x then 45=4.5x solving "x" as 1 in per 10 pounds.
I Believe The Answer Is 288.
