No, it does not.
In general, surface area is the sum of the areas of each face of a prism. In a rectangular prism, we have length, width, and height.
The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w. This means that together, it is 2lw.
The area of the left and right faces of the prism is the same, and can be represented as l*h. This means that together, it is 2lh.
The area of the front and back faces of the prism is the same, and can be represented as w*h. This means that together, it is 2wh.
This gives us the equation
SA = 2lw+2lh+2wh
If we double the length and width, making them each 2l, we then have:
SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
= 2(4lw) + 4lh + 4wh
= 8lw + 4lh + 4wh
If the surface area had been doubled, we would expect
4lw + 4lh + 4wh
No, it is not doubled.
Answer:
1. 36
2. Ratio is the relationship that compares one value to another in a fraction-like manner.
3. Equation is a statement that compares who values with an equality sign.
4. The perimeter is the distance around the object while the area is the amount of space inside the area.
A1=-15
a2=a1+d→-4=-15+d→d=11
Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
