| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 2, length (l) = 8, and width (w) = 9. What is the surface area?
| 212 | |
| 48 | |
| 162 | |
| 76 |
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 8 x 9) + (2 x 9 x 2) + (2 x 8 x 2)
sa = (144) + (36) + (32)
sa = 212
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cube are height (h) = 7, length (l) = 5, and width (w) = 5. What is the volume?
| 48 | |
| 175 | |
| 576 | |
| 42 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 5 x 5
v = 175
If c = -1 and y = 5, what is the value of -c(c - y)?
| -6 | |
| 54 | |
| 324 | |
| -240 |
To solve this equation, 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.)
-c(c - y)
-1(-1)(-1 - 5)
-1(-1)(-6)
(1)(-6)
-6
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 + a2 |
|
c - a |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)