| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 8, length (l) = 2, and width (w) = 6. What is the surface area?
| 142 | |
| 152 | |
| 222 | |
| 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 2 x 6) + (2 x 6 x 8) + (2 x 2 x 8)
sa = (24) + (96) + (32)
sa = 152
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
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.
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If a = c = 8, b = d = 7, what is the area of this rectangle?
| 48 | |
| 56 | |
| 35 | |
| 6 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 8 x 7
a = 56
Solve for a:
-8a - 3 > \( \frac{a}{-2} \)
| a > -2\(\frac{2}{5}\) | |
| a > -6 | |
| a > 1\(\frac{5}{7}\) | |
| a > -\(\frac{2}{5}\) |
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 > sign and the answer on the other.
-8a - 3 > \( \frac{a}{-2} \)
-2 x (-8a - 3) > a
(-2 x -8a) + (-2 x -3) > a
16a + 6 > a
16a + 6 - a > 0
16a - a > -6
15a > -6
a > \( \frac{-6}{15} \)
a > -\(\frac{2}{5}\)