| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The dimensions of this cube are height (h) = 4, length (l) = 5, and width (w) = 5. What is the surface area?
| 130 | |
| 90 | |
| 162 | |
| 88 |
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 5 x 5) + (2 x 5 x 4) + (2 x 5 x 4)
sa = (50) + (40) + (40)
sa = 130
Simplify (y - 5)(y + 3)
| y2 + 8y + 15 | |
| y2 - 2y - 15 | |
| y2 + 2y - 15 | |
| y2 - 8y + 15 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 5)(y + 3)
(y x y) + (y x 3) + (-5 x y) + (-5 x 3)
y2 + 3y - 5y - 15
y2 - 2y - 15
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
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 cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?
| 252π | |
| 6π | |
| 192π | |
| 224π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π
What is the circumference of a circle with a diameter of 11?
| 8π | |
| 12π | |
| 13π | |
| 11π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π