| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.76 |
| Score | 0% | 75% |
The dimensions of this cube are height (h) = 4, length (l) = 2, and width (w) = 8. What is the volume?
| 147 | |
| 64 | |
| 28 | |
| 8 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 2 x 8
v = 64
If angle a = 63° and angle b = 41° what is the length of angle d?
| 120° | |
| 117° | |
| 116° | |
| 135° |
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° - 63° - 41° = 76°
So, d° = 41° + 76° = 117°
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° - 63° = 117°
A right angle measures:
45° |
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180° |
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360° |
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90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
If a = 6, b = 4, c = 5, and d = 2, what is the perimeter of this quadrilateral?
| 17 | |
| 22 | |
| 28 | |
| 15 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 4 + 5 + 2
p = 17