| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 6, length (l) = 4, and width (w) = 9. What is the surface area?
| 228 | |
| 88 | |
| 16 | |
| 94 |
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 4 x 9) + (2 x 9 x 6) + (2 x 4 x 6)
sa = (72) + (108) + (48)
sa = 228
If a = 9, b = 6, c = 7, and d = 9, what is the perimeter of this quadrilateral?
| 24 | |
| 22 | |
| 31 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 6 + 7 + 9
p = 31
If the base of this triangle is 4 and the height is 7, what is the area?
| 39 | |
| 12\(\frac{1}{2}\) | |
| 14 | |
| 44 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 7 = \( \frac{28}{2} \) = 14
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.
Solve for y:
4y + 4 > \( \frac{y}{-2} \)
| y > -\(\frac{8}{9}\) | |
| y > 2\(\frac{2}{3}\) | |
| y > \(\frac{45}{64}\) | |
| y > 4\(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
4y + 4 > \( \frac{y}{-2} \)
-2 x (4y + 4) > y
(-2 x 4y) + (-2 x 4) > y
-8y - 8 > y
-8y - 8 - y > 0
-8y - y > 8
-9y > 8
y > \( \frac{8}{-9} \)
y > -\(\frac{8}{9}\)