| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
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.
The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 8. What is the volume?
| 168 | |
| 15 | |
| 432 | |
| 336 |
The volume of a cube is height x length x width:
v = h x l x w
v = 7 x 6 x 8
v = 336
If angle a = 48° and angle b = 21° what is the length of angle d?
| 144° | |
| 132° | |
| 139° | |
| 115° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 48° - 21° = 111°
So, d° = 21° + 111° = 132°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 48° = 132°
If a = 1, b = 4, c = 1, and d = 9, what is the perimeter of this quadrilateral?
| 27 | |
| 21 | |
| 17 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 4 + 1 + 9
p = 15
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
acute, obtuse |
|
obtuse, acute |
|
vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).