| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
The dimensions of this cube are height (h) = 4, length (l) = 6, and width (w) = 5. What is the volume?
| 150 | |
| 120 | |
| 48 | |
| 32 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 6 x 5
v = 120
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
What is 2a4 - 8a4?
| a48 | |
| -6a4 | |
| -6 | |
| 16a8 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a4 - 8a4 = -6a4
If angle a = 57° and angle b = 54° what is the length of angle d?
| 148° | |
| 153° | |
| 123° | |
| 120° |
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° - 57° - 54° = 69°
So, d° = 54° + 69° = 123°
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° - 57° = 123°
The dimensions of this cylinder are height (h) = 7 and radius (r) = 2. What is the surface area?
| 90π | |
| 36π | |
| 88π | |
| 80π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 7)
sa = 2π(4) + 2π(14)
sa = (2 x 4)π + (2 x 14)π
sa = 8π + 28π
sa = 36π