| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
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 |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
lw x wh + lh |
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.
If side x = 12cm, side y = 13cm, and side z = 9cm what is the perimeter of this triangle?
| 22cm | |
| 30cm | |
| 34cm | |
| 24cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 13cm + 9cm = 34cm
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
a2 - c2 |
|
c - a |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Solve for y:
-9y + 9 = \( \frac{y}{-6} \)
| 1 | |
| \(\frac{16}{17}\) | |
| -\(\frac{18}{31}\) | |
| 1\(\frac{1}{53}\) |
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 equal sign and the answer on the other.
-9y + 9 = \( \frac{y}{-6} \)
-6 x (-9y + 9) = y
(-6 x -9y) + (-6 x 9) = y
54y - 54 = y
54y - 54 - y = 0
54y - y = 54
53y = 54
y = \( \frac{54}{53} \)
y = 1\(\frac{1}{53}\)
The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 4. What is the volume?
| 168 | |
| 72 | |
| 432 | |
| 70 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 2 x 4
v = 72