| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h x l x w |
|
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.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
c2 - a2 |
|
c - a |
|
a2 - c2 |
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, \(c = \sqrt{a + b}\)
The dimensions of this cylinder are height (h) = 3 and radius (r) = 9. What is the surface area?
| 140π | |
| 90π | |
| 216π | |
| 182π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 3)
sa = 2π(81) + 2π(27)
sa = (2 x 81)π + (2 x 27)π
sa = 162π + 54π
sa = 216π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Odd |
|
Last |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
If a = c = 4, b = d = 3, and the blue angle = 77°, what is the area of this parallelogram?
| 36 | |
| 12 | |
| 4 | |
| 27 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 3
a = 12