| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 6. What is the surface area?
| 88 | |
| 120 | |
| 100 | |
| 212 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 6) + (2 x 6 x 6) + (2 x 2 x 6)
sa = (24) + (72) + (24)
sa = 120
Solve for b:
b2 - 8b + 12 = 0
| 6 or -4 | |
| 2 or 6 | |
| 8 or 6 | |
| 8 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 8b + 12 = 0
(b - 2)(b - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 6) must equal zero:
If (b - 2) = 0, b must equal 2
If (b - 6) = 0, b must equal 6
So the solution is that b = 2 or 6
The endpoints of this line segment are at (-2, 0) and (2, -4). What is the slope of this line?
| -1 | |
| -1\(\frac{1}{2}\) | |
| 2 | |
| -3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
pairs |
|
exponents |
|
addition |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)