| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, obtuse, acute |
|
right, acute, obtuse |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If angle a = 67° and angle b = 54° what is the length of angle d?
| 155° | |
| 113° | |
| 146° | |
| 131° |
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° - 67° - 54° = 59°
So, d° = 54° + 59° = 113°
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° - 67° = 113°
If angle a = 61° and angle b = 23° what is the length of angle c?
| 110° | |
| 99° | |
| 96° | |
| 124° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 23° = 96°
The dimensions of this cube are height (h) = 3, length (l) = 1, and width (w) = 1. What is the surface area?
| 202 | |
| 350 | |
| 14 | |
| 72 |
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 1 x 1) + (2 x 1 x 3) + (2 x 1 x 3)
sa = (2) + (6) + (6)
sa = 14
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 |
|
lw x wh + lh |
|
h2 x l2 x w2 |
|
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.