| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
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 |
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lw x wh + lh |
|
h2 x l2 x w2 |
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 z:
z2 - 14z + 48 = 0
| 6 or 8 | |
| 2 or -7 | |
| -4 or -9 | |
| 2 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 14z + 48 = 0
(z - 6)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z - 8) must equal zero:
If (z - 6) = 0, z must equal 6
If (z - 8) = 0, z must equal 8
So the solution is that z = 6 or 8
The dimensions of this cylinder are height (h) = 2 and radius (r) = 2. What is the volume?
| 8π | |
| 3π | |
| 294π | |
| 64π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 2)
v = 8π
On this circle, line segment CD is the:
chord |
|
circumference |
|
radius |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
What is the circumference of a circle with a radius of 1?
| 2π | |
| 6π | |
| 5π | |
| 1π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 1)
c = 2π