| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
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.
If side a = 3, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{82} \) | |
| \( \sqrt{45} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{13} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 62
c2 = 9 + 36
c2 = 45
c = \( \sqrt{45} \)
If a = 1, b = 3, c = 5, and d = 1, what is the perimeter of this quadrilateral?
| 16 | |
| 10 | |
| 13 | |
| 35 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 3 + 5 + 1
p = 10
If a = c = 2, b = d = 3, what is the area of this rectangle?
| 49 | |
| 8 | |
| 6 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
all of the angles formed by a transversal are called interior angles |
|
all acute angles equal each other |
|
same-side interior angles are complementary and equal each other |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).