| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
If a = c = 2, b = d = 1, and the blue angle = 53°, what is the area of this parallelogram?
| 48 | |
| 9 | |
| 72 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 1
a = 2
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.
If side a = 4, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{72} \) | |
| \( \sqrt{20} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 22
c2 = 16 + 4
c2 = 20
c = \( \sqrt{20} \)
The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 9. What is the surface area?
| 180 | |
| 80 | |
| 348 | |
| 46 |
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 9) + (2 x 9 x 8) + (2 x 6 x 8)
sa = (108) + (144) + (96)
sa = 348
If a = 7, b = 9, c = 6, and d = 2, what is the perimeter of this quadrilateral?
| 24 | |
| 26 | |
| 27 | |
| 23 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 9 + 6 + 2
p = 24