| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
The dimensions of this cube are height (h) = 2, length (l) = 6, and width (w) = 2. What is the surface area?
| 202 | |
| 56 | |
| 136 | |
| 88 |
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 6 x 2) + (2 x 2 x 2) + (2 x 6 x 2)
sa = (24) + (8) + (24)
sa = 56
What is 5a9 - 9a9?
| -4a9 | |
| a918 | |
| 45a9 | |
| 45a18 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a9 - 9a9 = -4a9
A right angle measures:
90° |
|
180° |
|
360° |
|
45° |
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.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the volume?
| 12π | |
| 175π | |
| 125π | |
| 36π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 4)
v = 36π
If side a = 2, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 52
c2 = 4 + 25
c2 = 29
c = \( \sqrt{29} \)