| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
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 |
|
h2 x l2 x w2 |
|
h x l x w |
|
lw x wh + lh |
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.
A right angle measures:
180° |
|
45° |
|
360° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for c:
-2c - 8 = \( \frac{c}{1} \)
| -2\(\frac{2}{3}\) | |
| -\(\frac{8}{19}\) | |
| 1\(\frac{5}{19}\) | |
| 1\(\frac{19}{53}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-2c - 8 = \( \frac{c}{1} \)
1 x (-2c - 8) = c
(1 x -2c) + (1 x -8) = c
-2c - 8 = c
-2c - 8 - c = 0
-2c - c = 8
-3c = 8
c = \( \frac{8}{-3} \)
c = -2\(\frac{2}{3}\)
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the volume?
| 9π | |
| 320π | |
| 729π | |
| 448π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 7)
v = 448π